12435143200000 has 216 divisors, whose sum is σ = 32374121423616. Its totient is φ = 4757786880000.

The previous prime is 12435143199989. The next prime is 12435143200019. The reversal of 12435143200000 is 234153421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 18062089 + ... + 18737911.

It is an arithmetic number, because the mean of its divisors is an integer number (149880191776).

Almost surely, 2^{12435143200000} is an apocalyptic number.

12435143200000 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 12435143200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187060711808).

12435143200000 is an abundant number, since it is smaller than the sum of its proper divisors (19938978223616).

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

12435143200000 is an frugal number, since it uses more digits than its factorization.

12435143200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675887 (or 675853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 12435143200000 its reverse (234153421), we get a palindrome (12435377353421).

The spelling of 12435143200000 in words is "twelve trillion, four hundred thirty-five billion, one hundred forty-three million, two hundred thousand".