1241313312 has 72 divisors (see below), whose sum is σ = 3406418064. Its totient is φ = 395764864.

The previous prime is 1241313299. The next prime is 1241313319. The reversal of 1241313312 is 2133131421.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1241313319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38563 + ... + 63005.

It is an arithmetic number, because the mean of its divisors is an integer number (47311362).

Almost surely, 2^1241313312 is an apocalyptic number.

1241313312 is a gapful number since it is divisible by the number (12) 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 1241313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703209032).

1241313312 is an abundant number, since it is smaller than the sum of its proper divisors (2165104752).

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

1241313312 is a wasteful number, since it uses less digits than its factorization.

1241313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24502 (or 24471 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1241313312 is about 35232.2765656720. The cubic root of 1241313312 is about 1074.7162220483.

Adding to 1241313312 its reverse (2133131421), we get a palindrome (3374444733).

The spelling of 1241313312 in words is "one billion, two hundred forty-one million, three hundred thirteen thousand, three hundred twelve".