1312801214400 has 840 divisors, whose sum is σ = 5317868860304. Its totient is φ = 315618508800.

The previous prime is 1312801214393. The next prime is 1312801214437. The reversal of 1312801214400 is 44121082131.

1312801214400 is a `hidden beast` number, since 13 + 12 + 80 + 121 + 440 + 0 = 666.

It is a super-2 number, since 2×1312801214400² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72437340 + ... + 72455460.

Almost surely, 2^{1312801214400} is an apocalyptic number.

1312801214400 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 1312801214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658934430152).

1312801214400 is an abundant number, since it is smaller than the sum of its proper divisors (4005067645904).

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

1312801214400 is a wasteful number, since it uses less digits than its factorization.

1312801214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18211 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1312801214400 its reverse (44121082131), we get a palindrome (1356922296531).

The spelling of 1312801214400 in words is "one trillion, three hundred twelve billion, eight hundred one million, two hundred fourteen thousand, four hundred".