122116176 has 120 divisors (see below), whose sum is σ = 420667520. Its totient is φ = 32203008.

The previous prime is 122116153. The next prime is 122116193. The reversal of 122116176 is 671611221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8445 + ... + 17763.

Almost surely, 2^122116176 is an apocalyptic number.

122116176 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 122116176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210333760).

122116176 is an abundant number, since it is smaller than the sum of its proper divisors (298551344).

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

122116176 is a wasteful number, since it uses less digits than its factorization.

122116176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9344 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 122116176 is about 11050.6188062027. The cubic root of 122116176 is about 496.1249468433.

Adding to 122116176 its reverse (671611221), we get a palindrome (793727397).

The spelling of 122116176 in words is "one hundred twenty-two million, one hundred sixteen thousand, one hundred seventy-six".