12240205516000 has 384 divisors, whose sum is σ = 37553124510720. Its totient is φ = 3809223936000.

The previous prime is 12240205515997. The next prime is 12240205516003. The reversal of 12240205516000 is 61550204221.

It is an interprime number because it is at equal distance from previous prime (12240205515997) and next prime (12240205516003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12240205516000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240205516003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201093571 + ... + 201154429.

It is an arithmetic number, because the mean of its divisors is an integer number (97794595080).

Almost surely, 2^{12240205516000} is an apocalyptic number.

12240205516000 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 12240205516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776562255360).

12240205516000 is an abundant number, since it is smaller than the sum of its proper divisors (25312918994720).

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

12240205516000 is a wasteful number, since it uses less digits than its factorization.

12240205516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61555 (or 61537 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 12240205516000 in words is "twelve trillion, two hundred forty billion, two hundred five million, five hundred sixteen thousand".