31221960000 has 1120 divisors, whose sum is σ = 134069084160. Its totient is φ = 6220800000.

The previous prime is 31221959981. The next prime is 31221960013. The reversal of 31221960000 is 6912213.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286439946 + ... + 286440054.

Almost surely, 2^31221960000 is an apocalyptic number.

31221960000 is a gapful number since it is divisible by the number (30) 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 31221960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67034542080).

31221960000 is an abundant number, since it is smaller than the sum of its proper divisors (102847124160).

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

31221960000 is a wasteful number, since it uses less digits than its factorization.

31221960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 31221960000 in words is "thirty-one billion, two hundred twenty-one million, nine hundred sixty thousand".