31122012133332 has 72 divisors (see below), whose sum is σ = 79863006623400. Its totient is φ = 10217529704448.

The previous prime is 31122012133321. The next prime is 31122012133361. The reversal of 31122012133332 is 23333121022113.

31122012133332 is a `hidden beast` number, since 3 + 112 + 2 + 0 + 1 + 213 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2680312511556 + 28441699621776 = 1637166^2 + 5333076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31122012133296 and 31122012133305.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18074407 + ... + 19721262.

It is an arithmetic number, because the mean of its divisors is an integer number (1109208425325).

Almost surely, 2^{31122012133332} is an apocalyptic number.

It is an amenable number.

31122012133332 is an abundant number, since it is smaller than the sum of its proper divisors (48740994490068).

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

31122012133332 is a wasteful number, since it uses less digits than its factorization.

31122012133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37796025 (or 37796020 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31122012133332 its reverse (23333121022113), we get a palindrome (54455133155445).

The spelling of 31122012133332 in words is "thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred thirty-three thousand, three hundred thirty-two".