32001002132112 has 120 divisors (see below), whose sum is σ = 96980324707448. Its totient is φ = 9792061747200.

The previous prime is 32001002132111. The next prime is 32001002132137. The reversal of 32001002132112 is 21123120010023.

32001002132112 is a `hidden beast` number, since 320 + 0 + 1 + 0 + 0 + 21 + 321 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226180141056 + 31774821991056 = 475584^2 + 5636916^2 .

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 (32001002132111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46883689 + ... + 47561352.

Almost surely, 2^{32001002132112} is an apocalyptic number.

It is an amenable number.

32001002132112 is an abundant number, since it is smaller than the sum of its proper divisors (64979322575336).

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

32001002132112 is a wasteful number, since it uses less digits than its factorization.

32001002132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94445249 (or 94445240 counting only the distinct ones).

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

Adding to 32001002132112 its reverse (21123120010023), we get a palindrome (53124122142135).

The spelling of 32001002132112 in words is "thirty-two trillion, one billion, two million, one hundred thirty-two thousand, one hundred twelve".