1157112200 has 96 divisors (see below), whose sum is σ = 2794344960. Its totient is φ = 445132800.

The previous prime is 1157112199. The next prime is 1157112239. The reversal of 1157112200 is 22117511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 1196117 + ... + 1197083.

It is an arithmetic number, because the mean of its divisors is an integer number (29107760).

Almost surely, 2^1157112200 is an apocalyptic number.

1157112200 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 1157112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397172480).

1157112200 is an abundant number, since it is smaller than the sum of its proper divisors (1637232760).

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

1157112200 is a wasteful number, since it uses less digits than its factorization.

1157112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1157112200 is about 34016.3519502018. The cubic root of 1157112200 is about 1049.8449355290.

Adding to 1157112200 its reverse (22117511), we get a palindrome (1179229711).

The spelling of 1157112200 in words is "one billion, one hundred fifty-seven million, one hundred twelve thousand, two hundred".