1241141200 has 60 divisors (see below), whose sum is σ = 3211227628. Its totient is φ = 458265600.

The previous prime is 1241141191. The next prime is 1241141233. The reversal of 1241141200 is 21411421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21455424 + 1219685776 = 4632^2 + 34924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114141 + ... + 124540.

Almost surely, 2^1241141200 is an apocalyptic number.

1241141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241141200 is an abundant number, since it is smaller than the sum of its proper divisors (1970086428).

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

1241141200 is a wasteful number, since it uses less digits than its factorization.

1241141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238712 (or 238701 counting only the distinct ones).

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

The square root of 1241141200 is about 35229.8339479482. The cubic root of 1241141200 is about 1074.6665488229. Note that the first 3 decimals are identical.

Adding to 1241141200 its reverse (21411421), we get a palindrome (1262552621).

The spelling of 1241141200 in words is "one billion, two hundred forty-one million, one hundred forty-one thousand, two hundred".