12857331200 has 480 divisors, whose sum is σ = 40332847104. Its totient is φ = 3957719040.

The previous prime is 12857331191. The next prime is 12857331241. The reversal of 12857331200 is 213375821.

12857331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35033417 + ... + 35033783.

Almost surely, 2^12857331200 is an apocalyptic number.

12857331200 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 12857331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166423552).

12857331200 is an abundant number, since it is smaller than the sum of its proper divisors (27475515904).

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

12857331200 is a wasteful number, since it uses less digits than its factorization.

12857331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 12857331200 in words is "twelve billion, eight hundred fifty-seven million, three hundred thirty-one thousand, two hundred".