121113311112 has 24 divisors (see below), whose sum is σ = 328015217790. Its totient is φ = 40371103680.

The previous prime is 121113311083. The next prime is 121113311129. The reversal of 121113311112 is 211113311121.

It can be written as a sum of positive squares in only one way, i.e., 114599852676 + 6513458436 = 338526^2 + 80706^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 841064589 + ... + 841064732.

Almost surely, 2^121113311112 is an apocalyptic number.

121113311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121113311112 is an abundant number, since it is smaller than the sum of its proper divisors (206901906678).

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

121113311112 is a wasteful number, since it uses less digits than its factorization.

121113311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682129333 (or 1682129326 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 121113311112 its reverse (211113311121), we get a palindrome (332226622233).

Subtracting 121113311112 from its reverse (211113311121), we obtain a palindrome (90000000009).

The spelling of 121113311112 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twelve".