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12020833011672 = 23321770114009903
BaseRepresentation
bin1010111011101101000101…
…1110110100011111011000
31120120011212112001202020100
42232323101132310133120
53033422131222333142
641322143333455400
72350322306463612
oct256732136643730
946504775052210
1012020833011672
113915008941921
1214218747a1560
13692737838124
142d7b50783db2
1515ca51d84b4c
hexaeed17b47d8

12020833011672 has 96 divisors (see below), whose sum is σ = 34520683654080. Its totient is φ = 3765861657600.

The previous prime is 12020833011667. The next prime is 12020833011739. The reversal of 12020833011672 is 27611033802021.

12020833011672 is a `hidden beast` number, since 1 + 2 + 0 + 208 + 330 + 116 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6146928 + ... + 7862975.

It is an arithmetic number, because the mean of its divisors is an integer number (359590454730).

Almost surely, 212020833011672 is an apocalyptic number.

12020833011672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12020833011672 is an abundant number, since it is smaller than the sum of its proper divisors (22499850642408).

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

12020833011672 is a wasteful number, since it uses less digits than its factorization.

12020833011672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14010633 (or 14010626 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 12020833011672 its reverse (27611033802021), we get a palindrome (39631866813693).

The spelling of 12020833011672 in words is "twelve trillion, twenty billion, eight hundred thirty-three million, eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 701 1224 1402 2103 2804 4206 5608 6309 8412 11917 12618 16824 23834 25236 35751 47668 50472 71502 95336 107253 143004 214506 286008 429012 858024 14009903 28019806 42029709 56039612 84059418 112079224 126089127 168118836 238168351 252178254 336237672 476336702 504356508 714505053 952673404 1008713016 1429010106 1905346808 2143515159 2858020212 4287030318 5716040424 8574060636 9820942003 17148121272 19641884006 29462826009 39283768012 58925652018 78567536024 88388478027 117851304036 166956014051 176776956054 235702608072 333912028102 353553912108 500868042153 667824056204 707107824216 1001736084306 1335648112408 1502604126459 2003472168612 3005208252918 4006944337224 6010416505836 12020833011672