1141221200 has 60 divisors (see below), whose sum is σ = 3133475040. Its totient is φ = 391274880.

The previous prime is 1141221163. The next prime is 1141221217. The reversal of 1141221200 is 21221411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 200990 + ... + 206589.

It is an arithmetic number, because the mean of its divisors is an integer number (52224584).

Almost surely, 2^1141221200 is an apocalyptic number.

1141221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141221200 is an abundant number, since it is smaller than the sum of its proper divisors (1992253840).

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

1141221200 is a wasteful number, since it uses less digits than its factorization.

1141221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407604 (or 407593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1141221200 is about 33781.9656029663. The cubic root of 1141221200 is about 1045.0168110052.

Adding to 1141221200 its reverse (21221411), we get a palindrome (1162442611).

The spelling of 1141221200 in words is "one billion, one hundred forty-one million, two hundred twenty-one thousand, two hundred".