122832720 has 320 divisors, whose sum is σ = 462470400. Its totient is φ = 29859840.

The previous prime is 122832713. The next prime is 122832733. The reversal of 122832720 is 27238221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682604 + ... + 1682676.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^122832720 is an apocalyptic number.

122832720 is a gapful number since it is divisible by the number (10) 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 122832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

122832720 is an abundant number, since it is smaller than the sum of its proper divisors (339637680).

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

122832720 is a wasteful number, since it uses less digits than its factorization.

122832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

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

The square root of 122832720 is about 11082.9923757079. The cubic root of 122832720 is about 497.0934297725.

The spelling of 122832720 in words is "one hundred twenty-two million, eight hundred thirty-two thousand, seven hundred twenty".