212336640000 has 575 divisors, whose sum is σ = 792731750107. Its totient is φ = 56623104000.

The previous prime is 212336639891. The next prime is 212336640037. The reversal of 212336640000 is 46633212.

The square root of 212336640000 is 460800.

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

It is a Jordan-Polya number, since it can be written as (5!)⁴ ⋅ (2!)¹⁰.

212336640000 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 6 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16647192576 + 195689447424 = 129024^2 + 442368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=480.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 42467327998 + ... + 42467328002.

Almost surely, 2^212336640000 is an apocalyptic number.

212336640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212336640000 is the 460800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212336640000

212336640000 is an abundant number, since it is smaller than the sum of its proper divisors (580395110107).

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

212336640000 is an frugal number, since it uses more digits than its factorization.

212336640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

212336640000 divided by its product of nonzero digits (5184) gives a 4-th power (40960000 = 80⁴).

The spelling of 212336640000 in words is "two hundred twelve billion, three hundred thirty-six million, six hundred forty thousand".