12257042820 has 96 divisors (see below), whose sum is σ = 37628236800. Its totient is φ = 2956440960.

The previous prime is 12257042813. The next prime is 12257042843. The reversal of 12257042820 is 2824075221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84679 + ... + 178001.

It is an arithmetic number, because the mean of its divisors is an integer number (391960800).

Almost surely, 2^12257042820 is an apocalyptic number.

12257042820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257042820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814118400).

12257042820 is an abundant number, since it is smaller than the sum of its proper divisors (25371193980).

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

12257042820 is a wasteful number, since it uses less digits than its factorization.

12257042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93545 (or 93543 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 12257042820 in words is "twelve billion, two hundred fifty-seven million, forty-two thousand, eight hundred twenty".