122433984 has 56 divisors (see below), whose sum is σ = 359938320. Its totient is φ = 40810752.

The previous prime is 122433979. The next prime is 122434021. The reversal of 122433984 is 489334221.

It is a super-2 number, since 2×122433984² = 29980160876224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 33699 + ... + 37154.

It is an arithmetic number, because the mean of its divisors is an integer number (6427470).

Almost surely, 2^122433984 is an apocalyptic number.

It is an amenable number.

122433984 is an abundant number, since it is smaller than the sum of its proper divisors (237504336).

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

122433984 is an equidigital number, since it uses as much as digits as its factorization.

122433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70874 (or 70858 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 122433984 is about 11064.9891098003. The cubic root of 122433984 is about 496.5549632930.

The spelling of 122433984 in words is "one hundred twenty-two million, four hundred thirty-three thousand, nine hundred eighty-four".