12890188800 has 528 divisors, whose sum is σ = 50166565920. Its totient is φ = 3232235520.

The previous prime is 12890188763. The next prime is 12890188807. The reversal of 12890188800 is 888109821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12890188807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11749852 + ... + 11750948.

Almost surely, 2^12890188800 is an apocalyptic number.

12890188800 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 12890188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25083282960).

12890188800 is an abundant number, since it is smaller than the sum of its proper divisors (37276377120).

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

12890188800 is a wasteful number, since it uses less digits than its factorization.

12890188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 12890188800 in words is "twelve billion, eight hundred ninety million, one hundred eighty-eight thousand, eight hundred".