122636032 has 54 divisors (see below), whose sum is σ = 258549648. Its totient is φ = 58046976.

The previous prime is 122636027. The next prime is 122636039. The reversal of 122636032 is 230636221.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122635988 and 122636006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122636039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91753 + ... + 93079.

Almost surely, 2^122636032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129274824).

122636032 is an abundant number, since it is smaller than the sum of its proper divisors (135913616).

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

122636032 is an equidigital number, since it uses as much as digits as its factorization.

122636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 122636032 is about 11074.1154048529. The cubic root of 122636032 is about 496.8279615664.

The spelling of 122636032 in words is "one hundred twenty-two million, six hundred thirty-six thousand, thirty-two".