1312071264 has 192 divisors, whose sum is σ = 4448908800. Its totient is φ = 368423424.

The previous prime is 1312071227. The next prime is 1312071269. The reversal of 1312071264 is 4621702131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312071269) 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, 354994 + ... + 358670.

It is an arithmetic number, because the mean of its divisors is an integer number (23171400).

Almost surely, 2^1312071264 is an apocalyptic number.

1312071264 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 1312071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224454400).

1312071264 is an abundant number, since it is smaller than the sum of its proper divisors (3136837536).

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

1312071264 is a wasteful number, since it uses less digits than its factorization.

1312071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1312071264 is about 36222.5242632261. The cubic root of 1312071264 is about 1094.7605556384.

Adding to 1312071264 its reverse (4621702131), we get a palindrome (5933773395).

The spelling of 1312071264 in words is "one billion, three hundred twelve million, seventy-one thousand, two hundred sixty-four".