121120113120 has 96 divisors (see below), whose sum is σ = 385461786528. Its totient is φ = 31965708288.

The previous prime is 121120113119. The next prime is 121120113133. The reversal of 121120113120 is 21311021121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121120113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121120113120.

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, 1254129 + ... + 1347248.

It is an arithmetic number, because the mean of its divisors is an integer number (4015226943).

Almost surely, 2^121120113120 is an apocalyptic number.

121120113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120113120 is an abundant number, since it is smaller than the sum of its proper divisors (264341673408).

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

121120113120 is a wasteful number, since it uses less digits than its factorization.

121120113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601492 (or 2601484 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121120113120 its reverse (21311021121), we get a palindrome (142431134241).

The spelling of 121120113120 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty".