1312889472 has 160 divisors (see below), whose sum is σ = 3939566400. Its totient is φ = 434004480.

The previous prime is 1312889453. The next prime is 1312889477. The reversal of 1312889472 is 2749882131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1312889477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1440697 + ... + 1441607.

It is an arithmetic number, because the mean of its divisors is an integer number (24622290).

Almost surely, 2^1312889472 is an apocalyptic number.

1312889472 is a gapful number since it is divisible by the number (12) 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 1312889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969783200).

1312889472 is an abundant number, since it is smaller than the sum of its proper divisors (2626676928).

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

1312889472 is an equidigital number, since it uses as much as digits as its factorization.

1312889472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1055 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1312889472 is about 36233.8166910415. The cubic root of 1312889472 is about 1094.9880726792.

The spelling of 1312889472 in words is "one billion, three hundred twelve million, eight hundred eighty-nine thousand, four hundred seventy-two".