1131121200 has 120 divisors (see below), whose sum is σ = 3952800576. Its totient is φ = 274208000.

The previous prime is 1131121193. The next prime is 1131121207. The reversal of 1131121200 is 21211311.

It is an interprime number because it is at equal distance from previous prime (1131121193) and next prime (1131121207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1131121207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29646 + ... + 56045.

Almost surely, 2^1131121200 is an apocalyptic number.

1131121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131121200 is an abundant number, since it is smaller than the sum of its proper divisors (2821679376).

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

1131121200 is a wasteful number, since it uses less digits than its factorization.

1131121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85723 (or 85712 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131121200 is about 33632.1453374595. The cubic root of 1131121200 is about 1041.9248131052.

Adding to 1131121200 its reverse (21211311), we get a palindrome (1152332511).

The spelling of 1131121200 in words is "one billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred".