31222639872 has 216 divisors, whose sum is σ = 93250501344. Its totient is φ = 10040389632.

The previous prime is 31222639853. The next prime is 31222639879. The reversal of 31222639872 is 27893622213.

31222639872 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 639 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222639879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8221078 + ... + 8224874.

It is an arithmetic number, because the mean of its divisors is an integer number (431715284).

Almost surely, 2^31222639872 is an apocalyptic number.

31222639872 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 31222639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46625250672).

31222639872 is an abundant number, since it is smaller than the sum of its proper divisors (62027861472).

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

31222639872 is a wasteful number, since it uses less digits than its factorization.

31222639872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3928 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 31222639872 in words is "thirty-one billion, two hundred twenty-two million, six hundred thirty-nine thousand, eight hundred seventy-two".