1312912128 has 288 divisors, whose sum is σ = 4132477440. Its totient is φ = 365854720.

The previous prime is 1312912123. The next prime is 1312912171. The reversal of 1312912128 is 8212192131.

It is a junction number, because it is equal to n+sod(n) for n = 1312912095 and 1312912104.

It is not an unprimeable number, because it can be changed into a prime (1312912123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5634700 + ... + 5634932.

It is an arithmetic number, because the mean of its divisors is an integer number (14348880).

Almost surely, 2^1312912128 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 1312912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066238720).

1312912128 is an abundant number, since it is smaller than the sum of its proper divisors (2819565312).

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

1312912128 is a wasteful number, since it uses less digits than its factorization.

1312912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 1312912128 is about 36234.1293258166. The cubic root of 1312912128 is about 1094.9943712310.

The spelling of 1312912128 in words is "one billion, three hundred twelve million, nine hundred twelve thousand, one hundred twenty-eight".