122605056 has 240 divisors, whose sum is σ = 424504080. Its totient is φ = 34836480.

The previous prime is 122604959. The next prime is 122605057. The reversal of 122605056 is 650506221.

122605056 is a `hidden beast` number, since 1 + 2 + 2 + 605 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122605057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677286 + ... + 677466.

It is an arithmetic number, because the mean of its divisors is an integer number (1768767).

Almost surely, 2^122605056 is an apocalyptic number.

122605056 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 122605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

122605056 is an abundant number, since it is smaller than the sum of its proper divisors (301899024).

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

122605056 is an equidigital number, since it uses as much as digits as its factorization.

122605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 122605056 is about 11072.7167398069. The cubic root of 122605056 is about 496.7861276436.

The spelling of 122605056 in words is "one hundred twenty-two million, six hundred five thousand, fifty-six".