1312296960 has 416 divisors, whose sum is σ = 4755760128. Its totient is φ = 306708480.

The previous prime is 1312296949. The next prime is 1312296967. The reversal of 1312296960 is 696922131.

1312296960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×1312296960² = 3444246622450483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312296967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24760294 + ... + 24760346.

Almost surely, 2^1312296960 is an apocalyptic number.

1312296960 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 1312296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377880064).

1312296960 is an abundant number, since it is smaller than the sum of its proper divisors (3443463168).

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

1312296960 is a wasteful number, since it uses less digits than its factorization.

1312296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1312296960 is about 36225.6395388680. The cubic root of 1312296960 is about 1094.8233238022.

The spelling of 1312296960 in words is "one billion, three hundred twelve million, two hundred ninety-six thousand, nine hundred sixty".