12240400000 has 192 divisors, whose sum is σ = 30980517120. Its totient is φ = 4816000000.

The previous prime is 12240399989. The next prime is 12240400031. The reversal of 12240400000 is 404221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28399785 + ... + 28400215.

It is an arithmetic number, because the mean of its divisors is an integer number (161356860).

Almost surely, 2^12240400000 is an apocalyptic number.

12240400000 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 12240400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490258560).

12240400000 is an abundant number, since it is smaller than the sum of its proper divisors (18740117120).

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

12240400000 is an frugal number, since it uses more digits than its factorization.

12240400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12240400000 its reverse (404221), we get a palindrome (12240804221).

The spelling of 12240400000 in words is "twelve billion, two hundred forty million, four hundred thousand".