12417010200 has 288 divisors, whose sum is σ = 48468326400. Its totient is φ = 2789902080.

The previous prime is 12417010189. The next prime is 12417010213. The reversal of 12417010200 is 201071421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 735049 + ... + 751751.

It is an arithmetic number, because the mean of its divisors is an integer number (168292800).

Almost surely, 2^12417010200 is an apocalyptic number.

12417010200 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 12417010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234163200).

12417010200 is an abundant number, since it is smaller than the sum of its proper divisors (36051316200).

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

12417010200 is a wasteful number, since it uses less digits than its factorization.

12417010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 12417010200 its reverse (201071421), we get a palindrome (12618081621).

The spelling of 12417010200 in words is "twelve billion, four hundred seventeen million, ten thousand, two hundred".