12280242000000 has 896 divisors, whose sum is σ = 44138022526080. Its totient is φ = 3007180800000.

The previous prime is 12280241999989. The next prime is 12280242000011. The reversal of 12280242000000 is 24208221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12280241999989) and next prime (12280242000011).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24413999749 + ... + 24414000251.

It is an arithmetic number, because the mean of its divisors is an integer number (49261185855).

Almost surely, 2^{12280242000000} is an apocalyptic number.

12280242000000 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 12280242000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22069011263040).

12280242000000 is an abundant number, since it is smaller than the sum of its proper divisors (31857780526080).

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

12280242000000 is an frugal number, since it uses more digits than its factorization.

12280242000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12280242000000 its reverse (24208221), we get a palindrome (12280266208221).

The spelling of 12280242000000 in words is "twelve trillion, two hundred eighty billion, two hundred forty-two million", and thus it is an aban number.