1296352000 has 144 divisors (see below), whose sum is σ = 3420772992. Its totient is φ = 487833600.

The previous prime is 1296351971. The next prime is 1296352019. The reversal of 1296352000 is 2536921.

It is a self number, because there is not a number n which added to its sum of digits gives 1296352000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542809 + ... + 545191.

It is an arithmetic number, because the mean of its divisors is an integer number (23755368).

Almost surely, 2^1296352000 is an apocalyptic number.

1296352000 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 1296352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710386496).

1296352000 is an abundant number, since it is smaller than the sum of its proper divisors (2124420992).

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

1296352000 is an equidigital number, since it uses as much as digits as its factorization.

1296352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1296352000 is about 36004.8885569724. Note that the first 3 decimals coincide. The cubic root of 1296352000 is about 1090.3710545494.

Adding to 1296352000 its reverse (2536921), we get a palindrome (1298888921).

The spelling of 1296352000 in words is "one billion, two hundred ninety-six million, three hundred fifty-two thousand".