122156016 has 80 divisors (see below), whose sum is σ = 351763200. Its totient is φ = 36301824.

The previous prime is 122156009. The next prime is 122156053. The reversal of 122156016 is 610651221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11565 + ... + 19443.

It is an arithmetic number, because the mean of its divisors is an integer number (4397040).

Almost surely, 2^122156016 is an apocalyptic number.

122156016 is a gapful number since it is divisible by the number (16) 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 122156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175881600).

122156016 is an abundant number, since it is smaller than the sum of its proper divisors (229607184).

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

122156016 is a wasteful number, since it uses less digits than its factorization.

122156016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 122156016 is about 11052.4212731872. The cubic root of 122156016 is about 496.1788940200.

The spelling of 122156016 in words is "one hundred twenty-two million, one hundred fifty-six thousand, sixteen".