122593416 has 64 divisors (see below), whose sum is σ = 335949120. Its totient is φ = 36971520.

The previous prime is 122593391. The next prime is 122593417. The reversal of 122593416 is 614395221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122593417) 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, 60516 + ... + 62508.

It is an arithmetic number, because the mean of its divisors is an integer number (5249205).

Almost surely, 2^122593416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122593416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167974560).

122593416 is an abundant number, since it is smaller than the sum of its proper divisors (213355704).

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

122593416 is a wasteful number, since it uses less digits than its factorization.

122593416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2242 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 122593416 is about 11072.1911110674. The cubic root of 122593416 is about 496.7704056886.

The spelling of 122593416 in words is "one hundred twenty-two million, five hundred ninety-three thousand, four hundred sixteen".