12121130311312 has 60 divisors (see below), whose sum is σ = 26103792648780. Its totient is φ = 5447698938880.

The previous prime is 12121130311291. The next prime is 12121130311319. The reversal of 12121130311312 is 21311303112121.

It can be written as a sum of positive squares in 2 ways, for example, as 5246225335296 + 6874904976016 = 2290464^2 + 2622004^2 .

It is a super-2 number, since 2×12121130311312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12121130311319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35001373 + ... + 35345980.

It is an arithmetic number, because the mean of its divisors is an integer number (435063210813).

Almost surely, 2^{12121130311312} is an apocalyptic number.

It is an amenable number.

12121130311312 is an abundant number, since it is smaller than the sum of its proper divisors (13982662337468).

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

12121130311312 is a wasteful number, since it uses less digits than its factorization.

12121130311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70347472 (or 70347455 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 12121130311312 its reverse (21311303112121), we get a palindrome (33432433423433).

The spelling of 12121130311312 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty million, three hundred eleven thousand, three hundred twelve".