122022020012000 has 192 divisors, whose sum is σ = 302813054788608. Its totient is φ = 48319718400000.

The previous prime is 122022020011951. The next prime is 122022020012017. The reversal of 122022020012000 is 210020220221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5139272129 + ... + 5139295871.

It is an arithmetic number, because the mean of its divisors is an integer number (1577151327024).

Almost surely, 2^{122022020012000} is an apocalyptic number.

122022020012000 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 122022020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151406527394304).

122022020012000 is an abundant number, since it is smaller than the sum of its proper divisors (180791034776608).

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

122022020012000 is a wasteful number, since it uses less digits than its factorization.

122022020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36590 (or 36572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122022020012000 its reverse (210020220221), we get a palindrome (122232040232221).

The spelling of 122022020012000 in words is "one hundred twenty-two trillion, twenty-two billion, twenty million, twelve thousand".