31220873712 has 240 divisors, whose sum is σ = 104425459200. Its totient is φ = 8904954240.

The previous prime is 31220873687. The next prime is 31220873767. The reversal of 31220873712 is 21737802213.

31220873712 is a `hidden beast` number, since 312 + 208 + 73 + 71 + 2 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19283239 + ... + 19284857.

It is an arithmetic number, because the mean of its divisors is an integer number (435106080).

Almost surely, 2^31220873712 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 31220873712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52212729600).

31220873712 is an abundant number, since it is smaller than the sum of its proper divisors (73204585488).

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

31220873712 is a wasteful number, since it uses less digits than its factorization.

31220873712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 31220873712 in words is "thirty-one billion, two hundred twenty million, eight hundred seventy-three thousand, seven hundred twelve".