322122113120000 has 360 divisors, whose sum is σ = 805742680020432. Its totient is φ = 128485785600000.

The previous prime is 322122113119997. The next prime is 322122113120009. The reversal of 322122113120000 is 21311221223.

It is a super-2 number, since 2×322122113120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322122113120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145034718890 + ... + 145034721110.

Almost surely, 2^{322122113120000} 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 322122113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402871340010216).

322122113120000 is an abundant number, since it is smaller than the sum of its proper divisors (483620566900432).

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

322122113120000 is an equidigital number, since it uses as much as digits as its factorization.

322122113120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 322122113120000 its reverse (21311221223), we get a palindrome (322143424341223).

The spelling of 322122113120000 in words is "three hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred twenty thousand".