122121110120 has 32 divisors (see below), whose sum is σ = 275509186920. Its totient is φ = 48717477120.

The previous prime is 122121110107. The next prime is 122121110143. The reversal of 122121110120 is 21011121221.

It can be written as a sum of positive squares in 4 ways, for example, as 106522598884 + 15598511236 = 326378^2 + 124894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122121110095 and 122121110104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4077611 + ... + 4107450.

Almost surely, 2^122121110120 is an apocalyptic number.

122121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121110120 is an abundant number, since it is smaller than the sum of its proper divisors (153388076800).

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

122121110120 is a wasteful number, since it uses less digits than its factorization.

122121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185445 (or 8185441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122121110120 its reverse (21011121221), we get a palindrome (143132231341).

The spelling of 122121110120 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".