122786816 has 44 divisors (see below), whose sum is σ = 258413280. Its totient is φ = 58152960.

The previous prime is 122786809. The next prime is 122786819. The reversal of 122786816 is 618687221.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122786819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16301 + ... + 22611.

Almost surely, 2^122786816 is an apocalyptic number.

122786816 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 122786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129206640).

122786816 is an abundant number, since it is smaller than the sum of its proper divisors (135626464).

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

122786816 is an equidigital number, since it uses as much as digits as its factorization.

122786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6332 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 122786816 is about 11080.9212613392. The cubic root of 122786816 is about 497.0314988801.

The spelling of 122786816 in words is "one hundred twenty-two million, seven hundred eighty-six thousand, eight hundred sixteen".