12210131131002 has 384 divisors, whose sum is σ = 33647650283520. Its totient is φ = 3239173048320.

The previous prime is 12210131130943. The next prime is 12210131131027. The reversal of 12210131131002 is 20013113101221.

12210131131002 is a `hidden beast` number, since 1 + 221 + 0 + 131 + 1 + 310 + 0 + 2 = 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2506696627 + ... + 2506701497.

It is an arithmetic number, because the mean of its divisors is an integer number (87624089280).

Almost surely, 2^{12210131131002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210131131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823825141760).

12210131131002 is an abundant number, since it is smaller than the sum of its proper divisors (21437519152518).

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

12210131131002 is a wasteful number, since it uses less digits than its factorization.

12210131131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12210131131002 its reverse (20013113101221), we get a palindrome (32223244232223).

The spelling of 12210131131002 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred thirty-one thousand, two".