12131211012312 has 128 divisors (see below), whose sum is σ = 34759457280000. Its totient is φ = 3456178782336.

The previous prime is 12131211012287. The next prime is 12131211012317. The reversal of 12131211012312 is 21321011213121.

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 (12131211012317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345020989 + ... + 345056147.

It is an arithmetic number, because the mean of its divisors is an integer number (271558260000).

Almost surely, 2^{12131211012312} is an apocalyptic number.

12131211012312 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 12131211012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379728640000).

12131211012312 is an abundant number, since it is smaller than the sum of its proper divisors (22628246267688).

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

12131211012312 is a wasteful number, since it uses less digits than its factorization.

12131211012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40973 (or 40969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12131211012312 its reverse (21321011213121), we get a palindrome (33452222225433).

The spelling of 12131211012312 in words is "twelve trillion, one hundred thirty-one billion, two hundred eleven million, twelve thousand, three hundred twelve".