12257535400 has 48 divisors (see below), whose sum is σ = 31089572640. Its totient is φ = 4457284800.

The previous prime is 12257535391. The next prime is 12257535403. The reversal of 12257535400 is 453575221.

12257535400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12257535403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783604 + ... + 2788003.

It is an arithmetic number, because the mean of its divisors is an integer number (647699430).

Almost surely, 2^12257535400 is an apocalyptic number.

12257535400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257535400 is an abundant number, since it is smaller than the sum of its proper divisors (18832037240).

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

12257535400 is a wasteful number, since it uses less digits than its factorization.

12257535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571634 (or 5571625 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 12257535400 in words is "twelve billion, two hundred fifty-seven million, five hundred thirty-five thousand, four hundred".