132100112112000 has 256 divisors, whose sum is σ = 438900456683520. Its totient is φ = 35147172403200.

The previous prime is 132100112111971. The next prime is 132100112112169. The reversal of 132100112112000 is 211211001231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18157809 + ... + 24370191.

It is an arithmetic number, because the mean of its divisors is an integer number (1714454908920).

Almost surely, 2^{132100112112000} is an apocalyptic number.

132100112112000 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 132100112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219450228341760).

132100112112000 is an abundant number, since it is smaller than the sum of its proper divisors (306800344571520).

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

132100112112000 is an equidigital number, since it uses as much as digits as its factorization.

132100112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212858 (or 6212836 counting only the distinct ones).

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

Adding to 132100112112000 its reverse (211211001231), we get a palindrome (132311323113231).

The spelling of 132100112112000 in words is "one hundred thirty-two trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand".