1297126400 has 132 divisors (see below), whose sum is σ = 3356621472. Its totient is φ = 496066560.

The previous prime is 1297126381. The next prime is 1297126403. The reversal of 1297126400 is 46217921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297126403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587699 + ... + 589901.

Almost surely, 2^1297126400 is an apocalyptic number.

1297126400 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 1297126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678310736).

1297126400 is an abundant number, since it is smaller than the sum of its proper divisors (2059495072).

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

1297126400 is a wasteful number, since it uses less digits than its factorization.

1297126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1297126400 is about 36015.6410466342. The cubic root of 1297126400 is about 1090.5881291465.

The spelling of 1297126400 in words is "one billion, two hundred ninety-seven million, one hundred twenty-six thousand, four hundred".