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112200221201220 = 2232510113944400211
BaseRepresentation
bin11001100000101110100110…
…010101000001001101000100
3112201021020101022220111121100
4121200232212111001031010
5104201242023111414340
61034344023044020100
732430125035250265
oct3140564625011504
9481236338814540
10112200221201220
11328289348a59a9
12107011a3091630
134a7b587923099
141d9c73c01296c
15ce88ba2aa830
hex660ba6541344

112200221201220 has 144 divisors (see below), whose sum is σ = 346183124938560. Its totient is φ = 29410699104000.

The previous prime is 112200221201219. The next prime is 112200221201231. The reversal of 112200221201220 is 22102122002211.

It is a happy number.

112200221201220 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 0 + 221 + 201 + 220 = 666.

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 = 112200221201193 and 112200221201202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19673086 + ... + 24727125.

It is an arithmetic number, because the mean of its divisors is an integer number (2404049478740).

Almost surely, 2112200221201220 is an apocalyptic number.

112200221201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200221201220 is an abundant number, since it is smaller than the sum of its proper divisors (233982903737340).

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

112200221201220 is a wasteful number, since it uses less digits than its factorization.

112200221201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44400466 (or 44400461 counting only the distinct ones).

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

Adding to 112200221201220 its reverse (22102122002211), we get a palindrome (134302343203431).

The spelling of 112200221201220 in words is "one hundred twelve trillion, two hundred billion, two hundred twenty-one 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 90 101 139 180 202 278 303 404 417 505 556 606 695 834 909 1010 1212 1251 1390 1515 1668 1818 2020 2085 2502 2780 3030 3636 4170 4545 5004 6060 6255 8340 9090 12510 14039 18180 25020 28078 42117 56156 70195 84234 126351 140390 168468 210585 252702 280780 421170 505404 631755 842340 1263510 2527020 44400211 88800422 133200633 177600844 222001055 266401266 399601899 444002110 532802532 666003165 799203798 888004220 1332006330 1598407596 1998009495 2664012660 3996018990 4484421311 6171629329 7992037980 8968842622 12343258658 13453263933 17937685244 18514887987 22422106555 24686517316 26906527866 30858146645 37029775974 40359791799 44844213110 53813055732 55544663961 61716293290 67266319665 74059551948 80719583598 89688426220 92574439935 111089327922 123432586580 134532639330 161439167196 185148879870 201798958995 222178655844 269065278660 277723319805 370297759740 403597917990 555446639610 623334562229 807195835980 1110893279220 1246669124458 1870003686687 2493338248916 3116672811145 3740007373374 5610011060061 6233345622290 7480014746748 9350018433435 11220022120122 12466691244580 18700036866870 22440044240244 28050055300305 37400073733740 56100110600610 112200221201220