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132125310024012 = 223217215891029451
BaseRepresentation
bin11110000010101011010010…
…001010110111100101001100
3122022211001112000202220210100
4132002223102022313211030
5114304220113331232022
61145001310211411100
736554511231635514
oct3602532212674514
9568731460686710
10132125310024012
1139110036010828
121299a92abb3a90
13589549515ca56
14248ac832b8844
151041d387c21ac
hex782ad22b794c

132125310024012 has 36 divisors (see below), whose sum is σ = 353629506242376. Its totient is φ = 41451077654400.

The previous prime is 132125310024007. The next prime is 132125310024023. The reversal of 132125310024012 is 210420013521231.

It is a happy number.

132125310024012 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 253 + 1 + 0 + 0 + 2 + 401 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1321253100240122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107945514114 + ... + 107945515337.

It is an arithmetic number, because the mean of its divisors is an integer number (9823041840066).

Almost surely, 2132125310024012 is an apocalyptic number.

132125310024012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132125310024012 is an abundant number, since it is smaller than the sum of its proper divisors (221504196218364).

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

132125310024012 is a wasteful number, since it uses less digits than its factorization.

132125310024012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215891029478 (or 215891029473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 132125310024012 its reverse (210420013521231), we get a palindrome (342545323545243).

The spelling of 132125310024012 in words is "one hundred thirty-two trillion, one hundred twenty-five billion, three hundred ten million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 215891029451 431782058902 647673088353 863564117804 1295346176706 1943019265059 2590692353412 3670147500667 3886038530118 7340295001334 7772077060236 11010442502001 14680590002668 22020885004002 33031327506003 44041770008004 66062655012006 132125310024012