122014080 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 31021056.

The previous prime is 122014063. The next prime is 122014093. The reversal of 122014080 is 80410221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 397287 + ... + 397593.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^122014080 is an apocalyptic number.

122014080 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 122014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

122014080 is an abundant number, since it is smaller than the sum of its proper divisors (330376320).

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

122014080 is a wasteful number, since it uses less digits than its factorization.

122014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122014080 is about 11045.9983704507. The cubic root of 122014080 is about 495.9866454955.

The spelling of 122014080 in words is "one hundred twenty-two million, fourteen thousand, eighty".