12890311200 has 432 divisors, whose sum is σ = 51836822856. Its totient is φ = 2985984000.

The previous prime is 12890311163. The next prime is 12890311219. The reversal of 12890311200 is 211309821.

It can be written as a sum of positive squares in 12 ways, for example, as 3928280976 + 8962030224 = 62676^2 + 94668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1587150 + ... + 1595250.

Almost surely, 2^12890311200 is an apocalyptic number.

12890311200 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 12890311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918411428).

12890311200 is an abundant number, since it is smaller than the sum of its proper divisors (38946511656).

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

12890311200 is a wasteful number, since it uses less digits than its factorization.

12890311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12890311200 in words is "twelve billion, eight hundred ninety million, three hundred eleven thousand, two hundred".