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12032201011220 = 22513169327334729
BaseRepresentation
bin1010111100010111011100…
…0100010011000000010100
31120121021012202221221221122
42233011313010103000110
53034113421424324340
641331303345303112
72351204105051465
oct257056704230024
946537182857848
1012032201011220
113919911879175
121423b07934a98
13693829a7b690
142d850c488d6c
1515ceb9db5db5
hexaf177113014

12032201011220 has 48 divisors (see below), whose sum is σ = 27227359180560. Its totient is φ = 4440034538496.

The previous prime is 12032201011219. The next prime is 12032201011231. The reversal of 12032201011220 is 2211010223021.

It can be written as a sum of positive squares in 8 ways, for example, as 3362250318736 + 8669950692484 = 1833644^2 + 2944478^2 .

It is a super-2 number, since 2×120322010112202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13227185 + ... + 14107544.

It is an arithmetic number, because the mean of its divisors is an integer number (567236649595).

Almost surely, 212032201011220 is an apocalyptic number.

12032201011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032201011220 is an abundant number, since it is smaller than the sum of its proper divisors (15195158169340).

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

12032201011220 is a wasteful number, since it uses less digits than its factorization.

12032201011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27336444 (or 27336442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12032201011220 its reverse (2211010223021), we get a palindrome (14243211234241).

The spelling of 12032201011220 in words is "twelve trillion, thirty-two billion, two hundred one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1693 3386 6772 8465 16930 22009 33860 44018 88036 110045 220090 440180 27334729 54669458 109338916 136673645 273347290 355351477 546694580 710702954 1421405908 1776757385 3553514770 7107029540 46277696197 92555392394 185110784788 231388480985 462776961970 601610050561 925553923940 1203220101122 2406440202244 3008050252805 6016100505610 12032201011220