122408832 has 256 divisors, whose sum is σ = 416747520. Its totient is φ = 30965760.

The previous prime is 122408807. The next prime is 122408837. The reversal of 122408832 is 238804221.

It is a self number, because there is not a number n which added to its sum of digits gives 122408832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122408837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083208 + ... + 1083320.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^122408832 is an apocalyptic number.

122408832 is a gapful number since it is divisible by the number (12) 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 122408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

122408832 is an abundant number, since it is smaller than the sum of its proper divisors (294338688).

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

122408832 is a wasteful number, since it uses less digits than its factorization.

122408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 122408832 is about 11063.8524935937. The cubic root of 122408832 is about 496.5209580129.

The spelling of 122408832 in words is "one hundred twenty-two million, four hundred eight thousand, eight hundred thirty-two".