122596656 has 240 divisors, whose sum is σ = 418258944. Its totient is φ = 30191616.

The previous prime is 122596627. The next prime is 122596679. The reversal of 122596656 is 656695221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965265 + ... + 965391.

Almost surely, 2^122596656 is an apocalyptic number.

122596656 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 122596656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209129472).

122596656 is an abundant number, since it is smaller than the sum of its proper divisors (295662288).

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

122596656 is a wasteful number, since it uses less digits than its factorization.

122596656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 122596656 is about 11072.3374226041. The cubic root of 122596656 is about 496.7747820028.

It can be divided in two parts, 12259 and 6656, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 122596656 in words is "one hundred twenty-two million, five hundred ninety-six thousand, six hundred fifty-six".