122735268 has 72 divisors (see below), whose sum is σ = 325660608. Its totient is φ = 38900928.

The previous prime is 122735219. The next prime is 122735297. The reversal of 122735268 is 862537221.

122735268 is a `hidden beast` number, since 122 + 7 + 3 + 526 + 8 = 666.

It is a super-2 number, since 2×122735268² = 30127892022063648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187630 + ... + 188282.

It is an arithmetic number, because the mean of its divisors is an integer number (4523064).

Almost surely, 2^122735268 is an apocalyptic number.

122735268 is a gapful number since it is divisible by the number (18) 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 122735268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162830304).

122735268 is an abundant number, since it is smaller than the sum of its proper divisors (202925340).

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

122735268 is a wasteful number, since it uses less digits than its factorization.

122735268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 122735268 is about 11078.5950372780. The cubic root of 122735268 is about 496.9619350438.

The spelling of 122735268 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, two hundred sixty-eight".