1312203440400 has 120 divisors (see below), whose sum is σ = 4206127248960. Its totient is φ = 349695966720.

The previous prime is 1312203440389. The next prime is 1312203440417. The reversal of 1312203440400 is 40443022131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520094 + ... + 2221506.

It is an arithmetic number, because the mean of its divisors is an integer number (35051060408).

Almost surely, 2^{1312203440400} is an apocalyptic number.

1312203440400 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 1312203440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103063624480).

1312203440400 is an abundant number, since it is smaller than the sum of its proper divisors (2893923808560).

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

1312203440400 is a wasteful number, since it uses less digits than its factorization.

1312203440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702993 (or 702982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1312203440400 its reverse (40443022131), we get a palindrome (1352646462531).

The spelling of 1312203440400 in words is "one trillion, three hundred twelve billion, two hundred three million, four hundred forty thousand, four hundred".