1312201440 has 432 divisors, whose sum is σ = 5223267504. Its totient is φ = 298721280.

The previous prime is 1312201361. The next prime is 1312201441. The reversal of 1312201440 is 441022131.

1312201440 is a `hidden beast` number, since 1 + 3 + 1 + 220 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312201441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2961859 + ... + 2962301.

It is an arithmetic number, because the mean of its divisors is an integer number (12090897).

Almost surely, 2^1312201440 is an apocalyptic number.

1312201440 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 1312201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611633752).

1312201440 is an abundant number, since it is smaller than the sum of its proper divisors (3911066064).

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

1312201440 is a wasteful number, since it uses less digits than its factorization.

1312201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1312201440 is about 36224.3211116509. The cubic root of 1312201440 is about 1094.7967596773.

Adding to 1312201440 its reverse (441022131), we get a palindrome (1753223571).

The spelling of 1312201440 in words is "one billion, three hundred twelve million, two hundred one thousand, four hundred forty".