12015242400000 has 432 divisors, whose sum is σ = 45680093036928. Its totient is φ = 2746337280000.

The previous prime is 12015242399957. The next prime is 12015242400011. The reversal of 12015242400000 is 424251021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12015242400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16442404 + ... + 17157596.

It is an arithmetic number, because the mean of its divisors is an integer number (105740956104).

Almost surely, 2^{12015242400000} is an apocalyptic number.

12015242400000 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 12015242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840046518464).

12015242400000 is an abundant number, since it is smaller than the sum of its proper divisors (33664850636928).

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

12015242400000 is an frugal number, since it uses more digits than its factorization.

12015242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715244 (or 715210 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12015242400000 its reverse (424251021), we get a palindrome (12015666651021).

The spelling of 12015242400000 in words is "twelve trillion, fifteen billion, two hundred forty-two million, four hundred thousand".