12240502400 has 192 divisors, whose sum is σ = 34750632960. Its totient is φ = 4173312000.

The previous prime is 12240502361. The next prime is 12240502409. The reversal of 12240502400 is 420504221.

It is a happy number.

12240502400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12240502409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276970 + ... + 4279830.

It is an arithmetic number, because the mean of its divisors is an integer number (180992880).

Almost surely, 2^12240502400 is an apocalyptic number.

12240502400 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 12240502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375316480).

12240502400 is an abundant number, since it is smaller than the sum of its proper divisors (22510130560).

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

12240502400 is a wasteful number, since it uses less digits than its factorization.

12240502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 12240502400 in words is "twelve billion, two hundred forty million, five hundred two thousand, four hundred".