122343588864 has 880 divisors, whose sum is σ = 449517924800. Its totient is φ = 32774160384.

The previous prime is 122343588859. The next prime is 122343588877. The reversal of 122343588864 is 468885343221.

122343588864 is a `hidden beast` number, since 1 + 22 + 34 + 3 + 588 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×122343588864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8847360) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 122343588864.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1261274064 + ... + 1261274160.

Almost surely, 2^122343588864 is an apocalyptic number.

122343588864 is a gapful number since it is divisible by the number (14) 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 122343588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224758962400).

122343588864 is an abundant number, since it is smaller than the sum of its proper divisors (327174335936).

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

122343588864 is an frugal number, since it uses more digits than its factorization.

122343588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 122343588864 in words is "one hundred twenty-two billion, three hundred forty-three million, five hundred eighty-eight thousand, eight hundred sixty-four".