12420211189824 has 63 divisors (see below), whose sum is σ = 35600535276943. Its totient is φ = 4140042202752.

The previous prime is 12420211189783. The next prime is 12420211189831. The reversal of 12420211189824 is 42898111202421.

The square root of 12420211189824 is 3524232.

It is a perfect power (a square), and thus also a powerful number.

12420211189824 is a `hidden beast` number, since 1 + 2 + 420 + 2 + 1 + 118 + 98 + 24 = 666.

It is a super-2 number, since 2×12420211189824² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12420211189824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84508147 + ... + 84654989.

Almost surely, 2^{12420211189824} is an apocalyptic number.

12420211189824 is the 3524232-nd square number.

It is an amenable number.

12420211189824 is an abundant number, since it is smaller than the sum of its proper divisors (23180324087119).

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

12420211189824 is an frugal number, since it uses more digits than its factorization.

12420211189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293704 (or 146848 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12420211189824 in words is "twelve trillion, four hundred twenty billion, two hundred eleven million, one hundred eighty-nine thousand, eight hundred twenty-four".