122914008 has 96 divisors (see below), whose sum is σ = 392770560. Its totient is φ = 33981120.

The previous prime is 122914007. The next prime is 122914009. The reversal of 122914008 is 800419221.

It is an interprime number because it is at equal distance from previous prime (122914007) and next prime (122914009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122914007) 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 23 ways as a sum of consecutive naturals, for example, 11691 + ... + 19557.

It is an arithmetic number, because the mean of its divisors is an integer number (4091360).

Almost surely, 2^122914008 is an apocalyptic number.

122914008 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 122914008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196385280).

122914008 is an abundant number, since it is smaller than the sum of its proper divisors (269856552).

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

122914008 is a wasteful number, since it uses less digits than its factorization.

122914008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122914008 is about 11086.6590098190. The cubic root of 122914008 is about 497.2030607687.

The spelling of 122914008 in words is "one hundred twenty-two million, nine hundred fourteen thousand, eight".