122032120 has 128 divisors (see below), whose sum is σ = 343388160. Its totient is φ = 38062080.

The previous prime is 122032093. The next prime is 122032123. The reversal of 122032120 is 21230221.

It is a self number, because there is not a number n which added to its sum of digits gives 122032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147147 + ... + 147973.

It is an arithmetic number, because the mean of its divisors is an integer number (2682720).

Almost surely, 2^122032120 is an apocalyptic number.

122032120 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 122032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171694080).

122032120 is an abundant number, since it is smaller than the sum of its proper divisors (221356040).

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

122032120 is a wasteful number, since it uses less digits than its factorization.

122032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122032120 is about 11046.8149255792. The cubic root of 122032120 is about 496.0110884618.

Adding to 122032120 its reverse (21230221), we get a palindrome (143262341).

The spelling of 122032120 in words is "one hundred twenty-two million, thirty-two thousand, one hundred twenty".