122356668900 has 72 divisors (see below), whose sum is σ = 354157408864. Its totient is φ = 32615654400.

The previous prime is 122356668869. The next prime is 122356668911. The reversal of 122356668900 is 9866653221.

122356668900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122356668900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699255 + ... + 856545.

Almost surely, 2^122356668900 is an apocalyptic number.

122356668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122356668900 is an abundant number, since it is smaller than the sum of its proper divisors (231800739964).

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

122356668900 is a wasteful number, since it uses less digits than its factorization.

122356668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159901 (or 159894 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 122356668900 in words is "one hundred twenty-two billion, three hundred fifty-six million, six hundred sixty-eight thousand, nine hundred".