12241042000000 has 672 divisors, whose sum is σ = 34187651454960. Its totient is φ = 4329600000000.

The previous prime is 12241041999997. The next prime is 12241042000003. The reversal of 12241042000000 is 24014221.

It is an interprime number because it is at equal distance from previous prime (12241041999997) and next prime (12241042000003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12241042000003) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36981999835 + ... + 36982000165.

Almost surely, 2^{12241042000000} is an apocalyptic number.

12241042000000 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 12241042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093825727480).

12241042000000 is an abundant number, since it is smaller than the sum of its proper divisors (21946609454960).

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

12241042000000 is an frugal number, since it uses more digits than its factorization.

12241042000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12241042000000 its reverse (24014221), we get a palindrome (12241066014221).

The spelling of 12241042000000 in words is "twelve trillion, two hundred forty-one billion, forty-two million", and thus it is an aban number.