122186112 has 64 divisors (see below), whose sum is σ = 341659200. Its totient is φ = 38582784.

The previous prime is 122186083. The next prime is 122186149. The reversal of 122186112 is 211681221.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 1078 + ... + 15669.

It is an arithmetic number, because the mean of its divisors is an integer number (5338425).

Almost surely, 2^122186112 is an apocalyptic number.

122186112 is a gapful number since it is divisible by the number (12) 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 122186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170829600).

122186112 is an abundant number, since it is smaller than the sum of its proper divisors (219473088).

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

122186112 is a wasteful number, since it uses less digits than its factorization.

122186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16771 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 122186112 is about 11053.7827009581. The cubic root of 122186112 is about 496.2196391106.

The spelling of 122186112 in words is "one hundred twenty-two million, one hundred eighty-six thousand, one hundred twelve".