212418965160000 has 735 divisors, whose sum is σ = 790026438045691. Its totient is φ = 56624069952000.

The previous prime is 212418965159993. The next prime is 212418965160067. The reversal of 212418965160000 is 61569814212.

The square root of 212418965160000 is 14574600.

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

212418965160000 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 8 + 96 + 516 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16653646868544 + 195765318291456 = 4080888^2 + 13991616^2 .

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

It is a Duffinian 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 104 ways as a sum of consecutive naturals, for example, 78702838651 + ... + 78702841349.

Almost surely, 2^{212418965160000} is an apocalyptic number.

212418965160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212418965160000 is the 14574600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212418965160000

212418965160000 is an abundant number, since it is smaller than the sum of its proper divisors (577607472885691).

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

212418965160000 is an frugal number, since it uses more digits than its factorization.

212418965160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 212418965160000 in words is "two hundred twelve trillion, four hundred eighteen billion, nine hundred sixty-five million, one hundred sixty thousand".