122121000120 has 64 divisors (see below), whose sum is σ = 418700574720. Its totient is φ = 27913371264.

The previous prime is 122121000119. The next prime is 122121000161. The reversal of 122121000120 is 21000121221.

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 = 122121000096 and 122121000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72690232 + ... + 72691911.

It is an arithmetic number, because the mean of its divisors is an integer number (6542196480).

Almost surely, 2^122121000120 is an apocalyptic number.

122121000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121000120 is an abundant number, since it is smaller than the sum of its proper divisors (296579574600).

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

122121000120 is a wasteful number, since it uses less digits than its factorization.

122121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145382164 (or 145382160 counting only the distinct ones).

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

Adding to 122121000120 its reverse (21000121221), we get a palindrome (143121121341).

The spelling of 122121000120 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.