12441002000 has 120 divisors (see below), whose sum is σ = 34994021400. Its totient is φ = 4265452800.

The previous prime is 12441001949. The next prime is 12441002003. The reversal of 12441002000 is 20014421.

It can be written as a sum of positive squares in 4 ways, for example, as 2257770256 + 10183231744 = 47516^2 + 100912^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12441002003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34526 + ... + 161474.

It is an arithmetic number, because the mean of its divisors is an integer number (291616845).

Almost surely, 2^12441002000 is an apocalyptic number.

12441002000 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 12441002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497010700).

12441002000 is an abundant number, since it is smaller than the sum of its proper divisors (22553019400).

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

12441002000 is a wasteful number, since it uses less digits than its factorization.

12441002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126986 (or 126963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12441002000 its reverse (20014421), we get a palindrome (12461016421).

The spelling of 12441002000 in words is "twelve billion, four hundred forty-one million, two thousand".