1280115600 has 120 divisors (see below), whose sum is σ = 4279017792. Its totient is φ = 326515200.

The previous prime is 1280115583. The next prime is 1280115607. The reversal of 1280115600 is 65110821.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1280115607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4410 + ... + 50790.

Almost surely, 2^1280115600 is an apocalyptic number.

1280115600 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 1280115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139508896).

1280115600 is an abundant number, since it is smaller than the sum of its proper divisors (2998902192).

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

1280115600 is a wasteful number, since it uses less digits than its factorization.

1280115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46425 (or 46414 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1280115600 is about 35778.7031626357. The cubic root of 1280115600 is about 1085.7997317662.

The spelling of 1280115600 in words is "one billion, two hundred eighty million, one hundred fifteen thousand, six hundred".