12160577376400 has 30 divisors (see below), whose sum is σ = 29215787147762. Its totient is φ = 4864230950400.

The previous prime is 12160577376361. The next prime is 12160577376403. The reversal of 12160577376400 is 467377506121.

It can be written as a sum of positive squares in 3 ways, for example, as 375445405696 + 11785131970704 = 612736^2 + 3432948^2 .

It is not an unprimeable number, because it can be changed into a prime (12160577376403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15200721321 + ... + 15200722120.

Almost surely, 2^{12160577376400} is an apocalyptic number.

12160577376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12160577376400 is an abundant number, since it is smaller than the sum of its proper divisors (17055209771362).

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

12160577376400 is a wasteful number, since it uses less digits than its factorization.

12160577376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30401443459 (or 30401443448 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 12160577376400 in words is "twelve trillion, one hundred sixty billion, five hundred seventy-seven million, three hundred seventy-six thousand, four hundred".