12045257261000 has 64 divisors (see below), whose sum is σ = 28435335018480. Its totient is φ = 4775464780800.

The previous prime is 12045257260999. The next prime is 12045257261099. The reversal of 12045257261000 is 16275254021.

It can be written as a sum of positive squares in 8 ways, for example, as 5981166244 + 12039276094756 = 77338^2 + 3469766^2 .

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 15 ways as a sum of consecutive naturals, for example, 53184599 + ... + 53410598.

Almost surely, 2^{12045257261000} is an apocalyptic number.

12045257261000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12045257261000 is an abundant number, since it is smaller than the sum of its proper divisors (16390077757480).

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

12045257261000 is a wasteful number, since it uses less digits than its factorization.

12045257261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106595331 (or 106595317 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 12045257261000 in words is "twelve trillion, forty-five billion, two hundred fifty-seven million, two hundred sixty-one thousand".