31021222022000 has 320 divisors, whose sum is σ = 93220778416896. Its totient is φ = 9739660492800.

The previous prime is 31021222021981. The next prime is 31021222022069. The reversal of 31021222022000 is 22022212013.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 31021222022000.

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 63 ways as a sum of consecutive naturals, for example, 7044632 + ... + 10567368.

Almost surely, 2^{31021222022000} 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 31021222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46610389208448).

31021222022000 is an abundant number, since it is smaller than the sum of its proper divisors (62199556394896).

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

31021222022000 is a wasteful number, since it uses less digits than its factorization.

31021222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522821 (or 3522805 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 31021222022000 its reverse (22022212013), we get a palindrome (31043244234013).

The spelling of 31021222022000 in words is "thirty-one trillion, twenty-one billion, two hundred twenty-two million, twenty-two thousand".