1129075200 has 630 divisors, whose sum is σ = 4610087097. Its totient is φ = 273715200.

The previous prime is 1129075163. The next prime is 1129075229. The reversal of 1129075200 is 25709211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 22581504 = 33264^2 + 4752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23760.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 102643195 + ... + 102643205.

Almost surely, 2^1129075200 is an apocalyptic number.

1129075200 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 1129075200

1129075200 is an abundant number, since it is smaller than the sum of its proper divisors (3481011897).

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

1129075200 is an frugal number, since it uses more digits than its factorization.

1129075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1129075200 is about 33601.7142419847. The cubic root of 1129075200 is about 1041.2962141544.

The spelling of 1129075200 in words is "one billion, one hundred twenty-nine million, seventy-five thousand, two hundred".