1296107712 has 168 divisors, whose sum is σ = 3805092720. Its totient is φ = 421724160.

The previous prime is 1296107689. The next prime is 1296107717. The reversal of 1296107712 is 2177016921.

It is a happy number.

1296107712 is a `hidden beast` number, since 1 + 29 + 610 + 7 + 7 + 12 = 666.

It is a super-2 number, since 2×1296107712² = 3359790402211749888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1296107717) 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, 6715488 + ... + 6715680.

Almost surely, 2^1296107712 is an apocalyptic number.

1296107712 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 1296107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902546360).

1296107712 is an abundant number, since it is smaller than the sum of its proper divisors (2508985008).

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

1296107712 is a wasteful number, since it uses less digits than its factorization.

1296107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1296107712 is about 36001.4959689177. The cubic root of 1296107712 is about 1090.3025594448.

The spelling of 1296107712 in words is "one billion, two hundred ninety-six million, one hundred seven thousand, seven hundred twelve".