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112202012201220 = 2232510719429299843
BaseRepresentation
bin11001100000110000010001…
…000101001001000100000100
3112201021102000010222201201200
4121200300101011021010010
5104201304210110414340
61034344520503222500
732430220313431524
oct3140602105110404
9481242003881650
10112202012201220
1132829673872797
1210701602a47a30
134a7b7b19b17b6
141d9c86bc25684
15ce8972637330
hex660c11149104

112202012201220 has 144 divisors (see below), whose sum is σ = 343545735274560. Its totient is φ = 29639280953088.

The previous prime is 112202012201207. The next prime is 112202012201233. The reversal of 112202012201220 is 22102210202211.

It is a happy number.

112202012201220 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 201 + 220 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112202012201207) and next prime (112202012201233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112202012201193 and 112202012201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374052619 + ... + 374352461.

It is an arithmetic number, because the mean of its divisors is an integer number (2385734272740).

Almost surely, 2112202012201220 is an apocalyptic number.

112202012201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202012201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171772867637280).

112202012201220 is an abundant number, since it is smaller than the sum of its proper divisors (231343723073340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112202012201220 is a wasteful number, since it uses less digits than its factorization.

112202012201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319394 (or 319389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112202012201220 its reverse (22102210202211), we get a palindrome (134304222403431).

The spelling of 112202012201220 in words is "one hundred twelve trillion, two hundred two billion, twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 19429 38858 58287 77716 97145 116574 174861 194290 233148 291435 299843 349722 388580 582870 599686 699444 874305 899529 1165740 1199372 1499215 1748610 1799058 2078903 2698587 2998430 3497220 3598116 4157806 4497645 5397174 5996860 6236709 8315612 8995290 10394515 10794348 12473418 13492935 17990580 18710127 20789030 24946836 26985870 31183545 32083201 37420254 41578060 53971740 62367090 64166402 74840508 93550635 96249603 124734180 128332804 160416005 187101270 192499206 288748809 320832010 374202540 384998412 481248015 577497618 641664020 962496030 1154995236 1443744045 1924992060 2887488090 5774976180 5825649647 11651299294 17476948941 23302598588 29128248235 34953897882 52430846823 58256496470 69907795764 87384744705 104861693646 116512992940 174769489410 209723387292 262154234115 349538978820 524308468230 623344512229 1048616936460 1246689024458 1870033536687 2493378048916 3116722561145 3740067073374 5610100610061 6233445122290 7480134146748 9350167683435 11220201220122 12466890244580 18700335366870 22440402440244 28050503050305 37400670733740 56101006100610 112202012201220