122790720 has 112 divisors (see below), whose sum is σ = 419892480. Its totient is φ = 30222336.

The previous prime is 122790709. The next prime is 122790763. The reversal of 122790720 is 27097221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7561 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (3749040).

Almost surely, 2^122790720 is an apocalyptic number.

122790720 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 122790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209946240).

122790720 is an abundant number, since it is smaller than the sum of its proper divisors (297101760).

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

122790720 is a wasteful number, since it uses less digits than its factorization.

122790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 122790720 is about 11081.0974185773. The cubic root of 122790720 is about 497.0367665206.

The spelling of 122790720 in words is "one hundred twenty-two million, seven hundred ninety thousand, seven hundred twenty".