122220120 has 128 divisors (see below), whose sum is σ = 407773440. Its totient is φ = 29053440.

The previous prime is 122220113. The next prime is 122220143. The reversal of 122220120 is 21022221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122220096 and 122220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69087 + ... + 70833.

It is an arithmetic number, because the mean of its divisors is an integer number (3185730).

Almost surely, 2^122220120 is an apocalyptic number.

122220120 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 122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203886720).

122220120 is an abundant number, since it is smaller than the sum of its proper divisors (285553320).

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

122220120 is a wasteful number, since it uses less digits than its factorization.

122220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122220120 is about 11055.3208908652. The cubic root of 122220120 is about 496.2656723621.

Adding to 122220120 its reverse (21022221), we get a palindrome (143242341).

It can be divided in two parts, 1222201 and 20, that added together give a palindrome (1222221).

The spelling of 122220120 in words is "one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".