122142120 has 32 divisors (see below), whose sum is σ = 366426720. Its totient is φ = 32571200.

The previous prime is 122142103. The next prime is 122142131. The reversal of 122142120 is 21241221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122142120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508806 + ... + 509045.

It is an arithmetic number, because the mean of its divisors is an integer number (11450835).

Almost surely, 2^122142120 is an apocalyptic number.

122142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142120 is an abundant number, since it is smaller than the sum of its proper divisors (244284600).

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

122142120 is a wasteful number, since it uses less digits than its factorization.

122142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017865 (or 1017861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122142120 is about 11051.7926147752. The cubic root of 122142120 is about 496.1600788371.

Adding to 122142120 its reverse (21241221), we get a palindrome (143383341).

The spelling of 122142120 in words is "one hundred twenty-two million, one hundred forty-two thousand, one hundred twenty".