12008096172900 has 405 divisors, whose sum is σ = 39349612641339. Its totient is φ = 3167644890240.

The previous prime is 12008096172883. The next prime is 12008096172911. The reversal of 12008096172900 is 927169080021.

The square root of 12008096172900 is 3465270.

It is a perfect power (a square), and thus also a powerful number.

12008096172900 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 0 + 9 + 617 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2751703698276 + 9256392474624 = 1658826^2 + 3042432^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 43350527562 + ... + 43350527838.

Almost surely, 2^{12008096172900} is an apocalyptic number.

12008096172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12008096172900 is the 3465270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008096172900

12008096172900 is an abundant number, since it is smaller than the sum of its proper divisors (27341516468439).

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

12008096172900 is an equidigital number, since it uses as much as digits as its factorization.

12008096172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12008096172900 in words is "twelve trillion, eight billion, ninety-six million, one hundred seventy-two thousand, nine hundred".