1241344200 has 96 divisors (see below), whose sum is σ = 3870734400. Its totient is φ = 329084160.

The previous prime is 1241344189. The next prime is 1241344231. The reversal of 1241344200 is 24431421.

1241344200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97821 + ... + 109779.

It is an arithmetic number, because the mean of its divisors is an integer number (40320150).

Almost surely, 2^1241344200 is an apocalyptic number.

1241344200 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 1241344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935367200).

1241344200 is an abundant number, since it is smaller than the sum of its proper divisors (2629390200).

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

1241344200 is a wasteful number, since it uses less digits than its factorization.

1241344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1241344200 is about 35232.7149110028. The cubic root of 1241344200 is about 1074.7251361447.

Adding to 1241344200 its reverse (24431421), we get a palindrome (1265775621).

The spelling of 1241344200 in words is "one billion, two hundred forty-one million, three hundred forty-four thousand, two hundred".