1312220112132 has 192 divisors, whose sum is σ = 3349865594880. Its totient is φ = 398365599744.

The previous prime is 1312220112131. The next prime is 1312220112143. The reversal of 1312220112132 is 2312110222131.

It is a junction number, because it is equal to n+sod(n) for n = 1312220112099 and 1312220112108.

It is not an unprimeable number, because it can be changed into a prime (1312220112131) 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 63 ways as a sum of consecutive naturals, for example, 330782013 + ... + 330785979.

It is an arithmetic number, because the mean of its divisors is an integer number (17447216640).

Almost surely, 2^{1312220112132} is an apocalyptic number.

1312220112132 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 1312220112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674932797440).

1312220112132 is an abundant number, since it is smaller than the sum of its proper divisors (2037645482748).

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

1312220112132 is a wasteful number, since it uses less digits than its factorization.

1312220112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1312220112132 its reverse (2312110222131), we get a palindrome (3624330334263).

The spelling of 1312220112132 in words is "one trillion, three hundred twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred thirty-two".