1312332114240 has 1344 divisors, whose sum is σ = 5819083006464. Its totient is φ = 274614976512.

The previous prime is 1312332114239. The next prime is 1312332114271. The reversal of 1312332114240 is 424112332131.

1312332114240 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 3 + 211 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 342375364 + ... + 342379196.

It is an arithmetic number, because the mean of its divisors is an integer number (4329674856).

Almost surely, 2^{1312332114240} is an apocalyptic number.

1312332114240 is a gapful number since it is divisible by the number (10) 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 1312332114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909541503232).

1312332114240 is an abundant number, since it is smaller than the sum of its proper divisors (4506750892224).

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

1312332114240 is a wasteful number, since it uses less digits than its factorization.

1312332114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3904 counting only the distinct ones).

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

Adding to 1312332114240 its reverse (424112332131), we get a palindrome (1736444446371).

The spelling of 1312332114240 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, one hundred fourteen thousand, two hundred forty".