121313210310012 has 96 divisors (see below), whose sum is σ = 325043083782144. Its totient is φ = 34495797873600.

The previous prime is 121313210310007. The next prime is 121313210310013. The reversal of 121313210310012 is 210013012313121.

It is a super-3 number, since 3×121313210310012³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313210310013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208212603 + ... + 1208313005.

It is an arithmetic number, because the mean of its divisors is an integer number (3385865456064).

Almost surely, 2^{121313210310012} is an apocalyptic number.

121313210310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121313210310012 is an abundant number, since it is smaller than the sum of its proper divisors (203729873472132).

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

121313210310012 is a wasteful number, since it uses less digits than its factorization.

121313210310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168799 (or 168797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 121313210310012 its reverse (210013012313121), we get a palindrome (331326222623133).

The spelling of 121313210310012 in words is "one hundred twenty-one trillion, three hundred thirteen billion, two hundred ten million, three hundred ten thousand, twelve".