122632832 has 128 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 48365568.

The previous prime is 122632819. The next prime is 122632841. The reversal of 122632832 is 238236221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122632832² = 30077622968680448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122632795 and 122632804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264208 + ... + 1264304.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^122632832 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 122632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

122632832 is an abundant number, since it is smaller than the sum of its proper divisors (179646208).

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

122632832 is an equidigital number, since it uses as much as digits as its factorization.

122632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 122632832 is about 11073.9709228443. The cubic root of 122632832 is about 496.8236402064.

The spelling of 122632832 in words is "one hundred twenty-two million, six hundred thirty-two thousand, eight hundred thirty-two".