322220021220000 has 480 divisors, whose sum is σ = 1225444816632960. Its totient is φ = 82189451520000.

The previous prime is 322220021219951. The next prime is 322220021220001. The reversal of 322220021220000 is 22120022223.

322220021220000 is a `hidden beast` number, since 3 + 222 + 200 + 21 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (322220021220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 551821 + ... + 25391820.

It is an arithmetic number, because the mean of its divisors is an integer number (2553010034652).

Almost surely, 2^{322220021220000} is an apocalyptic number.

322220021220000 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 322220021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612722408316480).

322220021220000 is an abundant number, since it is smaller than the sum of its proper divisors (903224795412960).

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

322220021220000 is a wasteful number, since it uses less digits than its factorization.

322220021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943703 (or 25943674 counting only the distinct ones).

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

Adding to 322220021220000 its reverse (22120022223), we get a palindrome (322242141242223).

The spelling of 322220021220000 in words is "three hundred twenty-two trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand".