1141105200 has 60 divisors (see below), whose sum is σ = 3655344168. Its totient is φ = 304294400.

The previous prime is 1141105193. The next prime is 1141105219. The reversal of 1141105200 is 25011411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141105200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474261 + ... + 476660.

Almost surely, 2^1141105200 is an apocalyptic number.

1141105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141105200 is an abundant number, since it is smaller than the sum of its proper divisors (2514238968).

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

1141105200 is a wasteful number, since it uses less digits than its factorization.

1141105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950942 (or 950931 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1141105200 is about 33780.2486669355. The cubic root of 1141105200 is about 1044.9814027199.

Adding to 1141105200 its reverse (25011411), we get a palindrome (1166116611).

The spelling of 1141105200 in words is "one billion, one hundred forty-one million, one hundred five thousand, two hundred".