122964355872 has 54 divisors (see below), whose sum is σ = 349696810827. Its totient is φ = 40986134976.

The previous prime is 122964355859. The next prime is 122964355873. The reversal of 122964355872 is 278553469221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122964355872 is a `hidden beast` number, since 1 + 2 + 2 + 96 + 435 + 58 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61482177936 + 61482177936 = 247956^2 + 247956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247956.

It is not an unprimeable number, because it can be changed into a prime (122964355873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5940613 + ... + 5961275.

Almost surely, 2^122964355872 is an apocalyptic number.

122964355872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122964355872 is an abundant number, since it is smaller than the sum of its proper divisors (226732454955).

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

122964355872 is an frugal number, since it uses more digits than its factorization.

122964355872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41342 (or 20668 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 122964355872 in words is "one hundred twenty-two billion, nine hundred sixty-four million, three hundred fifty-five thousand, eight hundred seventy-two".