1312388224 has 128 divisors (see below), whose sum is σ = 3170257920. Its totient is φ = 529182720.

The previous prime is 1312388213. The next prime is 1312388239. The reversal of 1312388224 is 4228832131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1312388224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027074 + ... + 1028350.

It is an arithmetic number, because the mean of its divisors is an integer number (24767640).

Almost surely, 2^1312388224 is an apocalyptic number.

1312388224 is a gapful number since it is divisible by the number (14) 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 1312388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585128960).

1312388224 is an abundant number, since it is smaller than the sum of its proper divisors (1857869696).

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

1312388224 is a wasteful number, since it uses less digits than its factorization.

1312388224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 1312388224 is about 36226.8991772688. The cubic root of 1312388224 is about 1094.8487031289.

The spelling of 1312388224 in words is "one billion, three hundred twelve million, three hundred eighty-eight thousand, two hundred twenty-four".