1311977412800 has 84 divisors (see below), whose sum is σ = 3230995144296. Its totient is φ = 524350310400.

The previous prime is 1311977412719. The next prime is 1311977412821. The reversal of 1311977412800 is 82147791131.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565135 + ... + 2252465.

Almost surely, 2^{1311977412800} is an apocalyptic number.

1311977412800 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 1311977412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615497572148).

1311977412800 is an abundant number, since it is smaller than the sum of its proper divisors (1919017731496).

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

1311977412800 is a wasteful number, since it uses less digits than its factorization.

1311977412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688546 (or 688531 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The spelling of 1311977412800 in words is "one trillion, three hundred eleven billion, nine hundred seventy-seven million, four hundred twelve thousand, eight hundred".