12417997680 has 240 divisors, whose sum is σ = 47016053280. Its totient is φ = 3010360320.

The previous prime is 12417997663. The next prime is 12417997721. The reversal of 12417997680 is 8679971421.

12417997680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237604 + ... + 285116.

It is an arithmetic number, because the mean of its divisors is an integer number (195900222).

Almost surely, 2^12417997680 is an apocalyptic number.

12417997680 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 12417997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508026640).

12417997680 is an abundant number, since it is smaller than the sum of its proper divisors (34598055600).

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

12417997680 is a wasteful number, since it uses less digits than its factorization.

12417997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47557 (or 47534 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12417997680 in words is "twelve billion, four hundred seventeen million, nine hundred ninety-seven thousand, six hundred eighty".