212966910720 has 720 divisors, whose sum is σ = 782097845760. Its totient is φ = 55548260352.

The previous prime is 212966910703. The next prime is 212966910731. The reversal of 212966910720 is 27019669212.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1990344907 + ... + 1990345013.

It is an arithmetic number, because the mean of its divisors is an integer number (1086247008).

Almost surely, 2^212966910720 is an apocalyptic number.

212966910720 is a gapful number since it is divisible by the number (20) 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 212966910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391048922880).

212966910720 is an abundant number, since it is smaller than the sum of its proper divisors (569130935040).

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

212966910720 is an frugal number, since it uses more digits than its factorization.

212966910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 212966910720 in words is "two hundred twelve billion, nine hundred sixty-six million, nine hundred ten thousand, seven hundred twenty".