12008137756176 has 45 divisors (see below), whose sum is σ = 33606224124109. Its totient is φ = 4002698724288.

The previous prime is 12008137756129. The next prime is 12008137756187. The reversal of 12008137756176 is 67165773180021.

The square root of 12008137756176 is 3465276.

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

12008137756176 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 1 + 3 + 7 + 7 + 561 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8847650250000 + 3160487506176 = 2974500^2 + 1777776^2 .

It is a super-2 number, since 2×12008137756176² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41438926 + ... + 41727698.

Almost surely, 2^{12008137756176} is an apocalyptic number.

12008137756176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12008137756176 is the 3465276-th square number.

It is an amenable number.

12008137756176 is an abundant number, since it is smaller than the sum of its proper divisors (21598086367933).

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

12008137756176 is an frugal number, since it uses more digits than its factorization.

12008137756176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577560 (or 288778 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 12008137756176 in words is "twelve trillion, eight billion, one hundred thirty-seven million, seven hundred fifty-six thousand, one hundred seventy-six".