322122020220000 has 4320 divisors, whose sum is σ = 1577455145570304. Its totient is φ = 61268659200000.

The previous prime is 322122020219983. The next prime is 322122020220031. The reversal of 322122020220000 is 22020221223.

322122020220000 is a `hidden beast` number, since 3 + 221 + 220 + 2 + 0 + 220 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×322122020220000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 160180018995 + ... + 160180021005.

Almost surely, 2^{322122020220000} is an apocalyptic number.

322122020220000 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 322122020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788727572785152).

322122020220000 is an abundant number, since it is smaller than the sum of its proper divisors (1255333125350304).

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

322122020220000 is a wasteful number, since it uses less digits than its factorization.

322122020220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 322122020220000 its reverse (22020221223), we get a palindrome (322144040441223).

The spelling of 322122020220000 in words is "three hundred twenty-two trillion, one hundred twenty-two billion, twenty million, two hundred twenty thousand".