12057277165776 has 30 divisors (see below), whose sum is σ = 33743629846290. Its totient is φ = 4019092388544.

The previous prime is 12057277165763. The next prime is 12057277165823. The reversal of 12057277165776 is 67756177275021.

12057277165776 is a `hidden beast` number, since 1 + 2 + 0 + 57 + 2 + 7 + 7 + 1 + 6 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6983863290000 + 5073413875776 = 2642700^2 + 2252424^2 .

It is a super-3 number, since 3×12057277165776³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41865545571 + ... + 41865545858.

It is an arithmetic number, because the mean of its divisors is an integer number (1124787661543).

Almost surely, 2^{12057277165776} is an apocalyptic number.

12057277165776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12057277165776 is an abundant number, since it is smaller than the sum of its proper divisors (21686352680514).

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

12057277165776 is a wasteful number, since it uses less digits than its factorization.

12057277165776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83731091443 (or 83731091434 counting only the distinct ones).

The product of its (nonzero) digits is 60505200, while the sum is 63.

The spelling of 12057277165776 in words is "twelve trillion, fifty-seven billion, two hundred seventy-seven million, one hundred sixty-five thousand, seven hundred seventy-six".