12131541200 has 60 divisors (see below), whose sum is σ = 29171450988. Its totient is φ = 4848384000.

The previous prime is 12131541197. The next prime is 12131541217. The reversal of 12131541200 is 214513121.

It can be written as a sum of positive squares in 6 ways, for example, as 623401024 + 11508140176 = 24968^2 + 107276^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 467774 + ... + 493026.

Almost surely, 2^12131541200 is an apocalyptic number.

12131541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131541200 is an abundant number, since it is smaller than the sum of its proper divisors (17039909788).

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

12131541200 is a wasteful number, since it uses less digits than its factorization.

12131541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472 (or 26461 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 12131541200 in words is "twelve billion, one hundred thirty-one million, five hundred forty-one thousand, two hundred".