12131001121200 has 120 divisors (see below), whose sum is σ = 41848843408848. Its totient is φ = 2986092579840.

The previous prime is 12131001121159. The next prime is 12131001121219. The reversal of 12131001121200 is 212110013121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12131001121200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12131001121200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388798539 + ... + 388829738.

Almost surely, 2^{12131001121200} is an apocalyptic number.

12131001121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131001121200 is an abundant number, since it is smaller than the sum of its proper divisors (29717842287648).

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

12131001121200 is a wasteful number, since it uses less digits than its factorization.

12131001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777628311 (or 777628300 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12131001121200 its reverse (212110013121), we get a palindrome (12343111134321).

The spelling of 12131001121200 in words is "twelve trillion, one hundred thirty-one billion, one million, one hundred twenty-one thousand, two hundred".