122814120 has 256 divisors, whose sum is σ = 459406080. Its totient is φ = 25804800.

The previous prime is 122814113. The next prime is 122814127. The reversal of 122814120 is 21418221.

It is an interprime number because it is at equal distance from previous prime (122814113) and next prime (122814127).

It is not an unprimeable number, because it can be changed into a prime (122814127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291510 + ... + 291930.

It is an arithmetic number, because the mean of its divisors is an integer number (1794555).

Almost surely, 2^122814120 is an apocalyptic number.

122814120 is a gapful number since it is divisible by the number (10) 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 122814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229703040).

122814120 is an abundant number, since it is smaller than the sum of its proper divisors (336591960).

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

122814120 is a wasteful number, since it uses less digits than its factorization.

122814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122814120 is about 11082.1532203810. The cubic root of 122814120 is about 497.0683376404.

The spelling of 122814120 in words is "one hundred twenty-two million, eight hundred fourteen thousand, one hundred twenty".