1312000230400 has 132 divisors (see below), whose sum is σ = 3254158469412. Its totient is φ = 524479528960.

The previous prime is 1312000230367. The next prime is 1312000230403. The reversal of 1312000230400 is 40320002131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 177315103744 + 1134685126656 = 421088^2 + 1065216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1312000230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44350014 + ... + 44379586.

Almost surely, 2^{1312000230400} is an apocalyptic number.

1312000230400 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 1312000230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627079234706).

1312000230400 is an abundant number, since it is smaller than the sum of its proper divisors (1942158239012).

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

1312000230400 is a wasteful number, since it uses less digits than its factorization.

1312000230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1312000230400 its reverse (40320002131), we get a palindrome (1352320232531).

The spelling of 1312000230400 in words is "one trillion, three hundred twelve billion, two hundred thirty thousand, four hundred".