1141214200 has 96 divisors (see below), whose sum is σ = 3039091200. Its totient is φ = 390407040.

The previous prime is 1141214153. The next prime is 1141214287. The reversal of 1141214200 is 24121411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 1241341 + ... + 1242259.

It is an arithmetic number, because the mean of its divisors is an integer number (31657200).

Almost surely, 2^1141214200 is an apocalyptic number.

1141214200 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 1141214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519545600).

1141214200 is an abundant number, since it is smaller than the sum of its proper divisors (1897877000).

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

1141214200 is a wasteful number, since it uses less digits than its factorization.

1141214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1141214200 is about 33781.8619972316. The cubic root of 1141214200 is about 1045.0146743664.

Adding to 1141214200 its reverse (24121411), we get a palindrome (1165335611).

The spelling of 1141214200 in words is "one billion, one hundred forty-one million, two hundred fourteen thousand, two hundred".