12131150400 has 504 divisors, whose sum is σ = 45940065600. Its totient is φ = 3027456000.

The previous prime is 12131150393. The next prime is 12131150417. The reversal of 12131150400 is 405113121.

12131150400 is a `hidden beast` number, since 1 + 213 + 1 + 1 + 50 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27633381 + ... + 27633819.

Almost surely, 2^12131150400 is an apocalyptic number.

12131150400 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 12131150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970032800).

12131150400 is an abundant number, since it is smaller than the sum of its proper divisors (33808915200).

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

12131150400 is a wasteful number, since it uses less digits than its factorization.

12131150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12131150400 its reverse (405113121), we get a palindrome (12536263521).

The spelling of 12131150400 in words is "twelve billion, one hundred thirty-one million, one hundred fifty thousand, four hundred".