122121112120 has 64 divisors (see below), whose sum is σ = 316498452480. Its totient is φ = 41540397696.

The previous prime is 122121112097. The next prime is 122121112121. The reversal of 122121112120 is 21211121221.

It is a super-2 number, since 2×122121112120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121112094 and 122121112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121112121) 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, 1681554 + ... + 1752673.

It is an arithmetic number, because the mean of its divisors is an integer number (4945288320).

Almost surely, 2^122121112120 is an apocalyptic number.

122121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121112120 is an abundant number, since it is smaller than the sum of its proper divisors (194377340360).

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

122121112120 is a wasteful number, since it uses less digits than its factorization.

122121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434372 (or 3434368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121112120 its reverse (21211121221), we get a palindrome (143332233341).

The spelling of 122121112120 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".