122238336 has 128 divisors (see below), whose sum is σ = 362989440. Its totient is φ = 36126720.

The previous prime is 122238331. The next prime is 122238341. The reversal of 122238336 is 633832221.

It is an interprime number because it is at equal distance from previous prime (122238331) and next prime (122238341).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122238331) by changing a digit.

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, 181296 + ... + 181968.

It is an arithmetic number, because the mean of its divisors is an integer number (2835855).

Almost surely, 2^122238336 is an apocalyptic number.

122238336 is a gapful number since it is divisible by the number (16) 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 122238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181494720).

122238336 is an abundant number, since it is smaller than the sum of its proper divisors (240751104).

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

122238336 is a wasteful number, since it uses less digits than its factorization.

122238336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 122238336 is about 11056.1447168532. The cubic root of 122238336 is about 496.2903260400.

The spelling of 122238336 in words is "one hundred twenty-two million, two hundred thirty-eight thousand, three hundred thirty-six".