31201132122112 has 104 divisors (see below), whose sum is σ = 63343905890400. Its totient is φ = 15363354918912.

The previous prime is 31201132122107. The next prime is 31201132122151. The reversal of 31201132122112 is 21122123110213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102928064 + ... + 1102956352.

Almost surely, 2^{31201132122112} is an apocalyptic number.

31201132122112 is a gapful number since it is divisible by the number (32) 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 31201132122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31671952945200).

31201132122112 is an abundant number, since it is smaller than the sum of its proper divisors (32142773768288).

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

31201132122112 is an equidigital number, since it uses as much as digits as its factorization.

31201132122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32399 (or 32377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 31201132122112 its reverse (21122123110213), we get a palindrome (52323255232325).

The spelling of 31201132122112 in words is "thirty-one trillion, two hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".