122112000120 has 128 divisors (see below), whose sum is σ = 399951613440. Its totient is φ = 29579773440.

The previous prime is 122112000119. The next prime is 122112000139. The reversal of 122112000120 is 21000211221.

It is a super-2 number, since 2×122112000120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122112000096 and 122112000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684462 + ... + 1755458.

It is an arithmetic number, because the mean of its divisors is an integer number (3124621980).

Almost surely, 2^122112000120 is an apocalyptic number.

122112000120 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 122112000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199975806720).

122112000120 is an abundant number, since it is smaller than the sum of its proper divisors (277839613320).

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

122112000120 is a wasteful number, since it uses less digits than its factorization.

122112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72325 (or 72321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122112000120 its reverse (21000211221), we get a palindrome (143112211341).

The spelling of 122112000120 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.