122338944 has 256 divisors, whose sum is σ = 445536000. Its totient is φ = 32182272.

The previous prime is 122338903. The next prime is 122338949. The reversal of 122338944 is 449833221.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (41472) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 122338899 and 122338908.

It is not an unprimeable number, because it can be changed into a prime (122338949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 314302 + ... + 314690.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^122338944 is an apocalyptic number.

122338944 is a gapful number since it is divisible by the number (14) 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 122338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

122338944 is an abundant number, since it is smaller than the sum of its proper divisors (323197056).

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

122338944 is a wasteful number, since it uses less digits than its factorization.

122338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

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

The square root of 122338944 is about 11060.6936491343. The cubic root of 122338944 is about 496.4264455983.

The spelling of 122338944 in words is "one hundred twenty-two million, three hundred thirty-eight thousand, nine hundred forty-four".