1260112800 has 144 divisors (see below), whose sum is σ = 4234228992. Its totient is φ = 325171200.

The previous prime is 1260112783. The next prime is 1260112853. The reversal of 1260112800 is 82110621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65932 + ... + 82868.

It is an arithmetic number, because the mean of its divisors is an integer number (29404368).

Almost surely, 2^1260112800 is an apocalyptic number.

1260112800 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 1260112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117114496).

1260112800 is an abundant number, since it is smaller than the sum of its proper divisors (2974116192).

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

1260112800 is a wasteful number, since it uses less digits than its factorization.

1260112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16991 (or 16978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1260112800 is about 35498.0675530373. The cubic root of 1260112800 is about 1080.1145283208.

The spelling of 1260112800 in words is "one billion, two hundred sixty million, one hundred twelve thousand, eight hundred".