122720832 has 168 divisors, whose sum is σ = 393492736. Its totient is φ = 37698048.

The previous prime is 122720821. The next prime is 122720861. The reversal of 122720832 is 238027221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122720796 and 122720805.

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, 201873 + ... + 202479.

Almost surely, 2^122720832 is an apocalyptic number.

122720832 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 122720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196746368).

122720832 is an abundant number, since it is smaller than the sum of its proper divisors (270771904).

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

122720832 is an equidigital number, since it uses as much as digits as its factorization.

122720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122720832 is about 11077.9434914609. The cubic root of 122720832 is about 496.9424502239.

The spelling of 122720832 in words is "one hundred twenty-two million, seven hundred twenty thousand, eight hundred thirty-two".