122509368 has 64 divisors (see below), whose sum is σ = 349524000. Its totient is φ = 39730176.

The previous prime is 122509357. The next prime is 122509379. The reversal of 122509368 is 863905221.

It is an interprime number because it is at equal distance from previous prime (122509357) and next prime (122509379).

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

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 15 ways as a sum of consecutive naturals, for example, 328 + ... + 15656.

Almost surely, 2^122509368 is an apocalyptic number.

122509368 is a gapful number since it is divisible by the number (18) 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 122509368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174762000).

122509368 is an abundant number, since it is smaller than the sum of its proper divisors (227014632).

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

122509368 is a wasteful number, since it uses less digits than its factorization.

122509368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15381 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 122509368 is about 11068.3950056004. The cubic root of 122509368 is about 496.6568539018.

The spelling of 122509368 in words is "one hundred twenty-two million, five hundred nine thousand, three hundred sixty-eight".