1131871200 has 144 divisors (see below), whose sum is σ = 3739760640. Its totient is φ = 297285120.

The previous prime is 1131871187. The next prime is 1131871207. The reversal of 1131871200 is 21781311.

It is a happy number.

1131871200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131871200² = 2562264826778880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131871207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157281 + ... + 164319.

It is an arithmetic number, because the mean of its divisors is an integer number (25970560).

Almost surely, 2^1131871200 is an apocalyptic number.

1131871200 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 1131871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869880320).

1131871200 is an abundant number, since it is smaller than the sum of its proper divisors (2607889440).

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

1131871200 is a wasteful number, since it uses less digits than its factorization.

1131871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1131871200 is about 33643.2935367511. The cubic root of 1131871200 is about 1042.1550480729.

The spelling of 1131871200 in words is "one billion, one hundred thirty-one million, eight hundred seventy-one thousand, two hundred".