12405242020200 has 192 divisors, whose sum is σ = 38909118139200. Its totient is φ = 3269147904000.

The previous prime is 12405242020183. The next prime is 12405242020211. The reversal of 12405242020200 is 202024250421.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 101452299 + ... + 101574501.

It is an arithmetic number, because the mean of its divisors is an integer number (202651656975).

Almost surely, 2^{12405242020200} is an apocalyptic number.

12405242020200 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 12405242020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454559069600).

12405242020200 is an abundant number, since it is smaller than the sum of its proper divisors (26503876119000).

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

12405242020200 is a wasteful number, since it uses less digits than its factorization.

12405242020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124212 (or 124203 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12405242020200 its reverse (202024250421), we get a palindrome (12607266270621).

The spelling of 12405242020200 in words is "twelve trillion, four hundred five billion, two hundred forty-two million, twenty thousand, two hundred".