212272327680 has 704 divisors, whose sum is σ = 811044326400. Its totient is φ = 47340453888.

The previous prime is 212272327633. The next prime is 212272327711. The reversal of 212272327680 is 86723272212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226544172 + ... + 226545108.

It is an arithmetic number, because the mean of its divisors is an integer number (1152051600).

Almost surely, 2^212272327680 is an apocalyptic number.

212272327680 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 212272327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405522163200).

212272327680 is an abundant number, since it is smaller than the sum of its proper divisors (598771998720).

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

212272327680 is an equidigital number, since it uses as much as digits as its factorization.

212272327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

Adding to 212272327680 its reverse (86723272212), we get a palindrome (298995599892).

The spelling of 212272327680 in words is "two hundred twelve billion, two hundred seventy-two million, three hundred twenty-seven thousand, six hundred eighty".