1312241340312 has 192 divisors, whose sum is σ = 4115735470080. Its totient is φ = 369967481856.

The previous prime is 1312241340307. The next prime is 1312241340317. The reversal of 1312241340312 is 2130431422131.

1312241340312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 4 + 1 + 340 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1312241340307) and next prime (1312241340317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312241340317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12877353 + ... + 12978855.

It is an arithmetic number, because the mean of its divisors is an integer number (21436122240).

Almost surely, 2^{1312241340312} is an apocalyptic number.

1312241340312 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 1312241340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057867735040).

1312241340312 is an abundant number, since it is smaller than the sum of its proper divisors (2803494129768).

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

1312241340312 is a wasteful number, since it uses less digits than its factorization.

1312241340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101862 (or 101855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312241340312 its reverse (2130431422131), we get a palindrome (3442672762443).

The spelling of 1312241340312 in words is "one trillion, three hundred twelve billion, two hundred forty-one million, three hundred forty thousand, three hundred twelve".