1295128800 has 324 divisors, whose sum is σ = 5314019256. Its totient is φ = 295948800.

The previous prime is 1295128753. The next prime is 1295128817. The reversal of 1295128800 is 88215921.

It is a super-3 number, since 3×1295128800³ (a number of 28 digits) contains 333 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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 350965 + ... + 354635.

It is an arithmetic number, because the mean of its divisors is an integer number (16401294).

Almost surely, 2^1295128800 is an apocalyptic number.

1295128800 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 1295128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657009628).

1295128800 is an abundant number, since it is smaller than the sum of its proper divisors (4018890456).

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

1295128800 is a wasteful number, since it uses less digits than its factorization.

1295128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1295128800 is about 35987.8979658440. The cubic root of 1295128800 is about 1090.0279991685.

The spelling of 1295128800 in words is "one billion, two hundred ninety-five million, one hundred twenty-eight thousand, eight hundred".