1132125200 has 120 divisors (see below), whose sum is σ = 2979753480. Its totient is φ = 411443200.

The previous prime is 1132125179. The next prime is 1132125257. The reversal of 1132125200 is 25212311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 151683856 + 980441344 = 12316^2 + 31312^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 194330 + ... + 200070.

It is an arithmetic number, because the mean of its divisors is an integer number (24831279).

Almost surely, 2^1132125200 is an apocalyptic number.

1132125200 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 1132125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489876740).

1132125200 is an abundant number, since it is smaller than the sum of its proper divisors (1847628280).

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

1132125200 is a wasteful number, since it uses less digits than its factorization.

1132125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1132125200 is about 33647.0682229522. The cubic root of 1132125200 is about 1042.2329979268.

Adding to 1132125200 its reverse (25212311), we get a palindrome (1157337511).

The spelling of 1132125200 in words is "one billion, one hundred thirty-two million, one hundred twenty-five thousand, two hundred".