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11122211201220 = 22325729304384543
BaseRepresentation
bin1010000111011001011101…
…1100101010000011000100
31110101021101000120221122100
42201312113130222003010
52424211242031414340
635353250121432100
72225360522226450
oct241662734520304
943337330527570
1011122211201220
1135a89a32a4259
1212b768603b630
13628a877622c2
142a6464433660
151444aa840830
hexa1d9772a0c4

11122211201220 has 144 divisors (see below), whose sum is σ = 39886550645760. Its totient is φ = 2454556946688.

The previous prime is 11122211201207. The next prime is 11122211201261. The reversal of 11122211201220 is 2210211222111.

11122211201220 is a `hidden beast` number, since 1 + 11 + 22 + 211 + 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 = 11122211201193 and 11122211201202.

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, 152155732 + ... + 152228811.

It is an arithmetic number, because the mean of its divisors is an integer number (276989935040).

Almost surely, 211122211201220 is an apocalyptic number.

11122211201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122211201220 is an abundant number, since it is smaller than the sum of its proper divisors (28764339444540).

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

11122211201220 is a wasteful number, since it uses less digits than its factorization.

11122211201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304384594 (or 304384589 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122211201220 its reverse (2210211222111), we get a palindrome (13332422423331).

It can be divided in two parts, 1112221 and 1201220, that added together give a 4-th power (2313441 = 394).

The spelling of 11122211201220 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 304384543 608769086 913153629 1217538172 1521922715 1826307258 2130691801 2739460887 3043845430 3652614516 4261383602 4565768145 5478921774 6087690860 6392075403 8522767204 8827151747 9131536290 10653459005 10957843548 12784150806 13697304435 17654303494 18263072580 19176226209 21306918010 25568301612 26481455241 27394608870 31960377015 35308606988 38352452418 42613836020 44135758735 52962910482 54789217740 61790062229 63920754030 76704904836 79444365723 88271517470 95881131045 105925820964 123580124458 127841508060 132407276205 158888731446 176543034940 185370186687 191762262090 247160248916 264814552410 308950311145 317777462892 370740373374 383524524180 397221828615 529629104820 556110560061 617900622290 741480746748 794443657230 926850933435 1112221120122 1235801244580 1588887314460 1853701866870 2224442240244 2780552800305 3707403733740 5561105600610 11122211201220