12213384906240 has 320 divisors, whose sum is σ = 49580528785920. Its totient is φ = 2791630725120.

The previous prime is 12213384906209. The next prime is 12213384906287. The reversal of 12213384906240 is 4260948331221.

12213384906240 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 3 + 8 + 4 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 12137466 + ... + 13105145.

It is an arithmetic number, because the mean of its divisors is an integer number (154939152456).

Almost surely, 2^{12213384906240} is an apocalyptic number.

12213384906240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213384906240 is an abundant number, since it is smaller than the sum of its proper divisors (37367143879680).

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

12213384906240 is an equidigital number, since it uses as much as digits as its factorization.

12213384906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25242650 (or 25242628 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12213384906240 in words is "twelve trillion, two hundred thirteen billion, three hundred eighty-four million, nine hundred six thousand, two hundred forty".