31880100121272 has 512 divisors, whose sum is σ = 99886669344000. Its totient is φ = 9412775424000.

The previous prime is 31880100121249. The next prime is 31880100121291. The reversal of 31880100121272 is 27212100108813.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 1186841122 + ... + 1186867982.

Almost surely, 2^{31880100121272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31880100121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49943334672000).

31880100121272 is an abundant number, since it is smaller than the sum of its proper divisors (68006569222728).

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

31880100121272 is a wasteful number, since it uses less digits than its factorization.

31880100121272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27017 (or 26981 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 31880100121272 in words is "thirty-one trillion, eight hundred eighty billion, one hundred million, one hundred twenty-one thousand, two hundred seventy-two".