122811120 has 80 divisors (see below), whose sum is σ = 423023520. Its totient is φ = 32749056.

The previous prime is 122811107. The next prime is 122811127. The reversal of 122811120 is 21118221.

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

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 = 122811093 and 122811102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122811127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26269 + ... + 30588.

It is an arithmetic number, because the mean of its divisors is an integer number (5287794).

Almost surely, 2^122811120 is an apocalyptic number.

122811120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122811120 is an abundant number, since it is smaller than the sum of its proper divisors (300212400).

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

122811120 is a wasteful number, since it uses less digits than its factorization.

122811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56879 (or 56867 counting only the distinct ones).

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

The square root of 122811120 is about 11082.0178667966. The cubic root of 122811120 is about 497.0642902851.

Adding to 122811120 its reverse (21118221), we get a palindrome (143929341).

The spelling of 122811120 in words is "one hundred twenty-two million, eight hundred eleven thousand, one hundred twenty".