121113312120 has 96 divisors (see below), whose sum is σ = 404256640320. Its totient is φ = 31423991040.

The previous prime is 121113312119. The next prime is 121113312121. The reversal of 121113312120 is 21213311121.

121113312120 is a `hidden beast` number, since 1 + 211 + 1 + 331 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (121113312119) and next prime (121113312121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121113312093 and 121113312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113312121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4532976 + ... + 4559615.

It is an arithmetic number, because the mean of its divisors is an integer number (4211006670).

Almost surely, 2^121113312120 is an apocalyptic number.

121113312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121113312120 is an abundant number, since it is smaller than the sum of its proper divisors (283143328200).

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

121113312120 is a wasteful number, since it uses less digits than its factorization.

121113312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092645 (or 9092638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121113312120 its reverse (21213311121), we get a palindrome (142326623241).

Subtracting from 121113312120 its reverse (21213311121), we obtain a palindrome (99900000999).

The spelling of 121113312120 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred twelve thousand, one hundred twenty".