12240322400 has 72 divisors (see below), whose sum is σ = 29953489104. Its totient is φ = 4884364800.

The previous prime is 12240322363. The next prime is 12240322433. The reversal of 12240322400 is 422304221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318629 + ... + 354971.

It is an arithmetic number, because the mean of its divisors is an integer number (416020682).

Almost surely, 2^12240322400 is an apocalyptic number.

12240322400 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 12240322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976744552).

12240322400 is an abundant number, since it is smaller than the sum of its proper divisors (17713166704).

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

12240322400 is a wasteful number, since it uses less digits than its factorization.

12240322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36784 (or 36771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12240322400 its reverse (422304221), we get a palindrome (12662626621).

The spelling of 12240322400 in words is "twelve billion, two hundred forty million, three hundred twenty-two thousand, four hundred".