12044414100 has 72 divisors (see below), whose sum is σ = 34945888320. Its totient is φ = 3202868480.

The previous prime is 12044414087. The next prime is 12044414101. The reversal of 12044414100 is 141444021.

It is a super-2 number, since 2×12044414100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044414101) 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, 51784 + ... + 163616.

It is an arithmetic number, because the mean of its divisors is an integer number (485359560).

Almost surely, 2^12044414100 is an apocalyptic number.

12044414100 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 12044414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472944160).

12044414100 is an abundant number, since it is smaller than the sum of its proper divisors (22901474220).

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

12044414100 is a wasteful number, since it uses less digits than its factorization.

12044414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112209 (or 112202 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12044414100 its reverse (141444021), we get a palindrome (12185858121).

The spelling of 12044414100 in words is "twelve billion, forty-four million, four hundred fourteen thousand, one hundred".