121310221113312 has 384 divisors, whose sum is σ = 420326563184640. Its totient is φ = 29678218352640.

The previous prime is 121310221113299. The next prime is 121310221113397. The reversal of 121310221113312 is 213311122013121.

121310221113312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21801153 + ... + 26793855.

It is an arithmetic number, because the mean of its divisors is an integer number (1094600424960).

Almost surely, 2^{121310221113312} is an apocalyptic number.

121310221113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310221113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210163281592320).

121310221113312 is an abundant number, since it is smaller than the sum of its proper divisors (299016342071328).

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

121310221113312 is a wasteful number, since it uses less digits than its factorization.

121310221113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992926 (or 4992918 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121310221113312 its reverse (213311122013121), we get a palindrome (334621343126433).

The spelling of 121310221113312 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred twenty-one million, one hundred thirteen thousand, three hundred twelve".