1151117200 has 60 divisors (see below), whose sum is σ = 2793038868. Its totient is φ = 455872000.

The previous prime is 1151117197. The next prime is 1151117221. The reversal of 1151117200 is 27111511.

It can be written as a sum of positive squares in 6 ways, for example, as 32080896 + 1119036304 = 5664^2 + 33452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26154 + ... + 54646.

Almost surely, 2^1151117200 is an apocalyptic number.

1151117200 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 1151117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396519434).

1151117200 is an abundant number, since it is smaller than the sum of its proper divisors (1641921668).

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

1151117200 is a wasteful number, since it uses less digits than its factorization.

1151117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 19.

The square root of 1151117200 is about 33928.1181323103. The cubic root of 1151117200 is about 1048.0287125750.

Adding to 1151117200 its reverse (27111511), we get a palindrome (1178228711).

The spelling of 1151117200 in words is "one billion, one hundred fifty-one million, one hundred seventeen thousand, two hundred".