1312302112000 has 360 divisors, whose sum is σ = 3597280956360. Its totient is φ = 477030400000.

The previous prime is 1312302111961. The next prime is 1312302112001. The reversal of 1312302112000 is 2112032131.

It can be written as a sum of positive squares in 4 ways, for example, as 55786660864 + 1256515451136 = 236192^2 + 1120944^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312302112001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468510600 + ... + 468513400.

It is an arithmetic number, because the mean of its divisors is an integer number (9992447101).

Almost surely, 2^{1312302112000} is an apocalyptic number.

1312302112000 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 1312302112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798640478180).

1312302112000 is an abundant number, since it is smaller than the sum of its proper divisors (2284978844360).

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

1312302112000 is an frugal number, since it uses more digits than its factorization.

1312302112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1312302112000 its reverse (2112032131), we get a palindrome (1314414144131).

The spelling of 1312302112000 in words is "one trillion, three hundred twelve billion, three hundred two million, one hundred twelve thousand".