12113888400 has 270 divisors, whose sum is σ = 43952697698. Its totient is φ = 3089433600.

The previous prime is 12113888399. The next prime is 12113888411. The reversal of 12113888400 is 488831121.

12113888400 is a `hidden beast` number, since 1 + 211 + 38 + 8 + 8 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 168272784 + 11945615616 = 12972^2 + 109296^2 .

It is a super-3 number, since 3×12113888400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1901220 + ... + 1907580.

Almost surely, 2^12113888400 is an apocalyptic number.

12113888400 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 12113888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976348849).

12113888400 is an abundant number, since it is smaller than the sum of its proper divisors (31838809298).

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

12113888400 is a wasteful number, since it uses less digits than its factorization.

12113888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12113888400 in words is "twelve billion, one hundred thirteen million, eight hundred eighty-eight thousand, four hundred".