122672816 has 80 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 46863360.

The previous prime is 122672791. The next prime is 122672819. The reversal of 122672816 is 618276221.

It is not an unprimeable number, because it can be changed into a prime (122672819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34481 + ... + 37871.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2^122672816 is an apocalyptic number.

122672816 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 122672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418880).

122672816 is an abundant number, since it is smaller than the sum of its proper divisors (180164944).

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

122672816 is a wasteful number, since it uses less digits than its factorization.

122672816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3436 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 122672816 is about 11075.7760901889. The cubic root of 122672816 is about 496.8776302011.

The spelling of 122672816 in words is "one hundred twenty-two million, six hundred seventy-two thousand, eight hundred sixteen".