1143111200 has 324 divisors, whose sum is σ = 3582977706. Its totient is φ = 354816000.

The previous prime is 1143111181. The next prime is 1143111209. The reversal of 1143111200 is 21113411.

It can be written as a sum of positive squares in 3 ways, for example, as 967707664 + 175403536 = 31108^2 + 13244^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1143111209) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 4743080 + ... + 4743320.

Almost surely, 2^1143111200 is an apocalyptic number.

1143111200 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 1143111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791488853).

1143111200 is an abundant number, since it is smaller than the sum of its proper divisors (2439866506).

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

1143111200 is a wasteful number, since it uses less digits than its factorization.

1143111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1143111200 is about 33809.9275361542. The cubic root of 1143111200 is about 1045.5933841389.

Adding to 1143111200 its reverse (21113411), we get a palindrome (1164224611).

It can be divided in two parts, 114311 and 1200, that added together give a palindrome (115511).

The spelling of 1143111200 in words is "one billion, one hundred forty-three million, one hundred eleven thousand, two hundred".