122583424 has 32 divisors (see below), whose sum is σ = 252095040. Its totient is φ = 59312640.

The previous prime is 122583407. The next prime is 122583457. The reversal of 122583424 is 424385221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 11479 + ... + 19414.

It is an arithmetic number, because the mean of its divisors is an integer number (7877970).

Almost surely, 2^122583424 is an apocalyptic number.

It is an amenable number.

122583424 is an abundant number, since it is smaller than the sum of its proper divisors (129511616).

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

122583424 is an equidigital number, since it uses as much as digits as its factorization.

122583424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30938 (or 30926 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 122583424 is about 11071.7398813375. The cubic root of 122583424 is about 496.7569088660.

The spelling of 122583424 in words is "one hundred twenty-two million, five hundred eighty-three thousand, four hundred twenty-four".