1312096128 has 192 divisors, whose sum is σ = 4091893200. Its totient is φ = 371417088.

The previous prime is 1312096127. The next prime is 1312096141. The reversal of 1312096128 is 8216902131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1312096128² = 3443192498225184768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312096127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2577538 + ... + 2578046.

Almost surely, 2^1312096128 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 1312096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045946600).

1312096128 is an abundant number, since it is smaller than the sum of its proper divisors (2779797072).

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

1312096128 is a wasteful number, since it uses less digits than its factorization.

1312096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1312096128 is about 36222.8674734621. The cubic root of 1312096128 is about 1094.7674709016.

Adding to 1312096128 its reverse (8216902131), we get a palindrome (9528998259).

The spelling of 1312096128 in words is "one billion, three hundred twelve million, ninety-six thousand, one hundred twenty-eight".