122111120 has 80 divisors (see below), whose sum is σ = 296231040. Its totient is φ = 46771200.

The previous prime is 122111111. The next prime is 122111131. The reversal of 122111120 is 21111221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122111120² = 29822251255308800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193205 + ... + 193835.

It is an arithmetic number, because the mean of its divisors is an integer number (3702888).

Almost surely, 2^122111120 is an apocalyptic number.

122111120 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 122111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

122111120 is an abundant number, since it is smaller than the sum of its proper divisors (174119920).

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

122111120 is a wasteful number, since it uses less digits than its factorization.

122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 122111120 is about 11050.3900383652. The cubic root of 122111120 is about 496.1180996960.

Adding to 122111120 its reverse (21111221), we get a palindrome (143222341).

It can be divided in two parts, 12211 and 1120, that added together give a palindrome (13331).

The spelling of 122111120 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".