1297032000 has 448 divisors, whose sum is σ = 4964094720. Its totient is φ = 295936000.

The previous prime is 1297031999. The next prime is 1297032041. The reversal of 1297032000 is 2307921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76295992 + ... + 76296008.

Almost surely, 2^1297032000 is an apocalyptic number.

1297032000 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 1297032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482047360).

1297032000 is an abundant number, since it is smaller than the sum of its proper divisors (3667062720).

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

1297032000 is an equidigital number, since it uses as much as digits as its factorization.

1297032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1297032000 is about 36014.3304810738. The cubic root of 1297032000 is about 1090.5616721986.

Adding to 1297032000 its reverse (2307921), we get a palindrome (1299339921).

The spelling of 1297032000 in words is "one billion, two hundred ninety-seven million, thirty-two thousand".