1296339120 has 160 divisors (see below), whose sum is σ = 4479921600. Its totient is φ = 344549376.

The previous prime is 1296339061. The next prime is 1296339157. The reversal of 1296339120 is 219336921.

It is a happy number.

1296339120 is a `hidden beast` number, since 1 + 2 + 9 + 633 + 9 + 12 + 0 = 666.

It is a super-2 number, since 2×1296339120² = 3360990228084748800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 804876 + ... + 806484.

It is an arithmetic number, because the mean of its divisors is an integer number (27999510).

Almost surely, 2^1296339120 is an apocalyptic number.

1296339120 is a gapful number since it is divisible by the number (10) 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 1296339120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239960800).

1296339120 is an abundant number, since it is smaller than the sum of its proper divisors (3183582480).

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

1296339120 is a wasteful number, since it uses less digits than its factorization.

1296339120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1296339120 is about 36004.7096919278. The cubic root of 1296339120 is about 1090.3674433837.

The spelling of 1296339120 in words is "one billion, two hundred ninety-six million, three hundred thirty-nine thousand, one hundred twenty".