1130371200 has 720 divisors, whose sum is σ = 4906870650. Its totient is φ = 255467520.

The previous prime is 1130371183. The next prime is 1130371261. The reversal of 1130371200 is 21730311.

It can be written as a sum of positive squares in 3 ways, for example, as 660695616 + 469675584 = 25704^2 + 21672^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700756 + ... + 12700844.

Almost surely, 2^1130371200 is an apocalyptic number.

1130371200 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 1130371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453435325).

1130371200 is an abundant number, since it is smaller than the sum of its proper divisors (3776499450).

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

1130371200 is an equidigital number, since it uses as much as digits as its factorization.

1130371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1130371200 is about 33620.9934415984. The cubic root of 1130371200 is about 1041.6944763420.

The spelling of 1130371200 in words is "one billion, one hundred thirty million, three hundred seventy-one thousand, two hundred".