12411444100 has 144 divisors (see below), whose sum is σ = 31078010880. Its totient is φ = 4254940800.

The previous prime is 12411444083. The next prime is 12411444131. The reversal of 12411444100 is 144411421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4659369 + ... + 4662031.

It is an arithmetic number, because the mean of its divisors is an integer number (215819520).

Almost surely, 2^12411444100 is an apocalyptic number.

12411444100 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 12411444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539005440).

12411444100 is an abundant number, since it is smaller than the sum of its proper divisors (18666566780).

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

12411444100 is a wasteful number, since it uses less digits than its factorization.

12411444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12411444100 its reverse (144411421), we get a palindrome (12555855521).

The spelling of 12411444100 in words is "twelve billion, four hundred eleven million, four hundred forty-four thousand, one hundred".