122832416 has 144 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 48263040.

The previous prime is 122832407. The next prime is 122832431. The reversal of 122832416 is 614238221.

It is a happy number.

It is a congruent number.

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, 3962321 + ... + 3962351.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^122832416 is an apocalyptic number.

122832416 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 122832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

122832416 is an abundant number, since it is smaller than the sum of its proper divisors (184405984).

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

122832416 is an equidigital number, since it uses as much as digits as its factorization.

122832416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 122832416 is about 11082.9786609918. The cubic root of 122832416 is about 497.0930196849.

The spelling of 122832416 in words is "one hundred twenty-two million, eight hundred thirty-two thousand, four hundred sixteen".