20112312132000 has 288 divisors, whose sum is σ = 77867560540224. Its totient is φ = 4875711936000.

The previous prime is 20112312131983. The next prime is 20112312132007. The reversal of 20112312132000 is 23121321102.

20112312132000 is a `hidden beast` number, since 20 + 1 + 1 + 231 + 213 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (20112312132007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24998334 + ... + 25790333.

It is an arithmetic number, because the mean of its divisors is an integer number (270373474098).

Almost surely, 2^{20112312132000} is an apocalyptic number.

20112312132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112312132000 is an abundant number, since it is smaller than the sum of its proper divisors (57755248408224).

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

20112312132000 is a wasteful number, since it uses less digits than its factorization.

20112312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50788709 (or 50788688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20112312132000 its reverse (23121321102), we get a palindrome (20135433453102).

The spelling of 20112312132000 in words is "twenty trillion, one hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand".