122011120 has 160 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 36664320.

The previous prime is 122011069. The next prime is 122011139. The reversal of 122011120 is 21110221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122011097 and 122011106.

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, 178299 + ... + 178981.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^122011120 is an apocalyptic number.

122011120 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 122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

122011120 is an abundant number, since it is smaller than the sum of its proper divisors (244394000).

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

122011120 is a wasteful number, since it uses less digits than its factorization.

122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122011120 is about 11045.8643844653. The cubic root of 122011120 is about 495.9826346678.

Adding to 122011120 its reverse (21110221), we get a palindrome (143121341).

The spelling of 122011120 in words is "one hundred twenty-two million, eleven thousand, one hundred twenty".