1296856512 has 168 divisors, whose sum is σ = 4363553376. Its totient is φ = 360474624.

The previous prime is 1296856507. The next prime is 1296856513. The reversal of 1296856512 is 2156586921.

1296856512 is a `hidden beast` number, since 1 + 29 + 68 + 56 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1296856512² = 3363673625433612288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296856513) 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, 144838 + ... + 153530.

It is an arithmetic number, because the mean of its divisors is an integer number (25973532).

Almost surely, 2^1296856512 is an apocalyptic number.

1296856512 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 1296856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181776688).

1296856512 is an abundant number, since it is smaller than the sum of its proper divisors (3066696864).

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

1296856512 is a wasteful number, since it uses less digits than its factorization.

1296856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8742 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1296856512 is about 36011.8940351657. The cubic root of 1296856512 is about 1090.5124857692.

The spelling of 1296856512 in words is "one billion, two hundred ninety-six million, eight hundred fifty-six thousand, five hundred twelve".