1312888192 has 128 divisors (see below), whose sum is σ = 3366881280. Its totient is φ = 494899200.

The previous prime is 1312888117. The next prime is 1312888207. The reversal of 1312888192 is 2918882131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303388 + ... + 307684.

It is an arithmetic number, because the mean of its divisors is an integer number (26303760).

Almost surely, 2^1312888192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683440640).

1312888192 is an abundant number, since it is smaller than the sum of its proper divisors (2053993088).

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

1312888192 is a wasteful number, since it uses less digits than its factorization.

1312888192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4348 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The square root of 1312888192 is about 36233.7990279794. The cubic root of 1312888192 is about 1094.9877168267.

The spelling of 1312888192 in words is "one billion, three hundred twelve million, eight hundred eighty-eight thousand, one hundred ninety-two".