122645936 has 80 divisors (see below), whose sum is σ = 289695744. Its totient is φ = 49158912.

The previous prime is 122645917. The next prime is 122645953. The reversal of 122645936 is 639546221.

It is a self number, because there is not a number n which added to its sum of digits gives 122645936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120566 + ... + 121578.

Almost surely, 2^122645936 is an apocalyptic number.

122645936 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 122645936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

122645936 is an abundant number, since it is smaller than the sum of its proper divisors (167049808).

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

122645936 is a wasteful number, since it uses less digits than its factorization.

122645936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 122645936 is about 11074.5625647246. The cubic root of 122645936 is about 496.8413356990.

The spelling of 122645936 in words is "one hundred twenty-two million, six hundred forty-five thousand, nine hundred thirty-six".