122535936 has 120 divisors (see below), whose sum is σ = 364369040. Its totient is φ = 40697856.

The previous prime is 122535913. The next prime is 122535943. The reversal of 122535936 is 639535221.

122535936 is a `hidden beast` number, since 12 + 2 + 53 + 593 + 6 = 666.

It is a super-2 number, since 2×122535936² = 30030111222792192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122535936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442230 + ... + 442506.

Almost surely, 2^122535936 is an apocalyptic number.

122535936 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 122535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182184520).

122535936 is an abundant number, since it is smaller than the sum of its proper divisors (241833104).

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

122535936 is an frugal number, since it uses more digits than its factorization.

122535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 282 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 122535936 is about 11069.5951145469. The cubic root of 122535936 is about 496.6927538110.

It can be divided in two parts, 1225359 and 36, that added together give a triangular number (1225395 = T₁₅₆₅).

The spelling of 122535936 in words is "one hundred twenty-two million, five hundred thirty-five thousand, nine hundred thirty-six".