122181120 has 120 divisors (see below), whose sum is σ = 423227376. Its totient is φ = 32575488.

The previous prime is 122181119. The next prime is 122181179. The reversal of 122181120 is 21181221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122181093 and 122181102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20389 + ... + 25691.

Almost surely, 2^122181120 is an apocalyptic number.

122181120 is a gapful number since it is divisible by the number (10) 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 122181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211613688).

122181120 is an abundant number, since it is smaller than the sum of its proper divisors (301046256).

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

122181120 is an equidigital number, since it uses as much as digits as its factorization.

122181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 122181120 is about 11053.5568935976. The cubic root of 122181120 is about 496.2128812171.

The spelling of 122181120 in words is "one hundred twenty-two million, one hundred eighty-one thousand, one hundred twenty".