122653856 has 48 divisors (see below), whose sum is σ = 268466688. Its totient is φ = 54777600.

The previous prime is 122653841. The next prime is 122653877. The reversal of 122653856 is 658356221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8141 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (5593056).

Almost surely, 2^122653856 is an apocalyptic number.

122653856 is a gapful number since it is divisible by the number (16) 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 122653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134233344).

122653856 is an abundant number, since it is smaller than the sum of its proper divisors (145812832).

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

122653856 is a wasteful number, since it uses less digits than its factorization.

122653856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9557 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 122653856 is about 11074.9201351522. The cubic root of 122653856 is about 496.8520301658.

The spelling of 122653856 in words is "one hundred twenty-two million, six hundred fifty-three thousand, eight hundred fifty-six".