1141171200 has 528 divisors, whose sum is σ = 4548597760. Its totient is φ = 278691840.

The previous prime is 1141171177. The next prime is 1141171211. The reversal of 1141171200 is 21711411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985537 + ... + 8985663.

Almost surely, 2^1141171200 is an apocalyptic number.

1141171200 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 1141171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274298880).

1141171200 is an abundant number, since it is smaller than the sum of its proper divisors (3407426560).

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

1141171200 is a wasteful number, since it uses less digits than its factorization.

1141171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1141171200 is about 33781.2255550328. The cubic root of 1141171200 is about 1045.0015491075.

Adding to 1141171200 its reverse (21711411), we get a palindrome (1162882611).

The spelling of 1141171200 in words is "one billion, one hundred forty-one million, one hundred seventy-one thousand, two hundred".