122320313022000 has 320 divisors, whose sum is σ = 405527852306304. Its totient is φ = 31697295667200.

The previous prime is 122320313021903. The next prime is 122320313022029. The reversal of 122320313022000 is 220313023221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176588334 + ... + 177279666.

Almost surely, 2^{122320313022000} is an apocalyptic number.

122320313022000 is a gapful number since it is divisible by the number (10) 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 122320313022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202763926153152).

122320313022000 is an abundant number, since it is smaller than the sum of its proper divisors (283207539284304).

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

122320313022000 is a wasteful number, since it uses less digits than its factorization.

122320313022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692193 (or 692177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122320313022000 its reverse (220313023221), we get a palindrome (122540626045221).

The spelling of 122320313022000 in words is "one hundred twenty-two trillion, three hundred twenty billion, three hundred thirteen million, twenty-two thousand".