12102400224 has 108 divisors (see below), whose sum is σ = 35236741176. Its totient is φ = 3940142976.

The previous prime is 12102400223. The next prime is 12102400229. The reversal of 12102400224 is 42200420121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102400197 and 12102400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102400223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 521149 + ... + 543875.

It is an arithmetic number, because the mean of its divisors is an integer number (326266122).

Almost surely, 2^12102400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618370588).

12102400224 is an abundant number, since it is smaller than the sum of its proper divisors (23134340952).

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

12102400224 is a wasteful number, since it uses less digits than its factorization.

12102400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22829 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12102400224 its reverse (42200420121), we get a palindrome (54302820345).

The spelling of 12102400224 in words is "twelve billion, one hundred two million, four hundred thousand, two hundred twenty-four".