12072757561000 has 32 divisors (see below), whose sum is σ = 28250252695080. Its totient is φ = 4829103024000.

The previous prime is 12072757560991. The next prime is 12072757561001. The reversal of 12072757561000 is 16575727021.

12072757561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6316606517796 + 5756151043204 = 2513286^2 + 2399198^2 .

It is not an unprimeable number, because it can be changed into a prime (12072757561001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6036377781 + ... + 6036379780.

Almost surely, 2^{12072757561000} is an apocalyptic number.

12072757561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072757561000 is an abundant number, since it is smaller than the sum of its proper divisors (16177495134080).

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

12072757561000 is a wasteful number, since it uses less digits than its factorization.

12072757561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072757582 (or 12072757568 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 43.

The spelling of 12072757561000 in words is "twelve trillion, seventy-two billion, seven hundred fifty-seven million, five hundred sixty-one thousand".