122466816 has 100 divisors (see below), whose sum is σ = 365654982. Its totient is φ = 40808448.

The previous prime is 122466809. The next prime is 122466829. The reversal of 122466816 is 618664221.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 34857216 = 9360^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39996 + ... + 42948.

Almost surely, 2^122466816 is an apocalyptic number.

122466816 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 122466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182827491).

122466816 is an abundant number, since it is smaller than the sum of its proper divisors (243188166).

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

122466816 is an frugal number, since it uses more digits than its factorization.

122466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2958 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 122466816 is about 11066.4726087403. The cubic root of 122466816 is about 496.5993448582.

The spelling of 122466816 in words is "one hundred twenty-two million, four hundred sixty-six thousand, eight hundred sixteen".