12417812282880 has 1920 divisors, whose sum is σ = 49050865543680. Its totient is φ = 2999838965760.

The previous prime is 12417812282873. The next prime is 12417812282893. The reversal of 12417812282880 is 8828221871421.

12417812282880 is a `hidden beast` number, since 1 + 2 + 417 + 8 + 122 + 8 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26936685850 + ... + 26936686310.

It is an arithmetic number, because the mean of its divisors is an integer number (25547325804).

Almost surely, 2^{12417812282880} is an apocalyptic number.

12417812282880 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 12417812282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525432771840).

12417812282880 is an abundant number, since it is smaller than the sum of its proper divisors (36633053260800).

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

12417812282880 is an equidigital number, since it uses as much as digits as its factorization.

12417812282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 12417812282880 in words is "twelve trillion, four hundred seventeen billion, eight hundred twelve million, two hundred eighty-two thousand, eight hundred eighty".