1131211200 has 336 divisors, whose sum is σ = 4290511104. Its totient is φ = 255590400.

The previous prime is 1131211163. The next prime is 1131211241. The reversal of 1131211200 is 21121311.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401472 + ... + 4401728.

Almost surely, 2^1131211200 is an apocalyptic number.

1131211200 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 1131211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145255552).

1131211200 is an abundant number, since it is smaller than the sum of its proper divisors (3159299904).

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

1131211200 is a wasteful number, since it uses less digits than its factorization.

1131211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

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

The square root of 1131211200 is about 33633.4833164809. The cubic root of 1131211200 is about 1041.9524466739.

Adding to 1131211200 its reverse (21121311), we get a palindrome (1152332511).

The spelling of 1131211200 in words is "one billion, one hundred thirty-one million, two hundred eleven thousand, two hundred".