212211133321320 has 768 divisors, whose sum is σ = 834509399592960. Its totient is φ = 45739468800000.

The previous prime is 212211133321303. The next prime is 212211133321321. The reversal of 212211133321320 is 23123331112212.

212211133321320 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 1 + 1 + 3 + 332 + 1 + 320 = 666.

It is a super-2 number, since 2×212211133321320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212211133321321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2629556970 + ... + 2629637670.

It is an arithmetic number, because the mean of its divisors is an integer number (1086600780720).

Almost surely, 2^{212211133321320} is an apocalyptic number.

212211133321320 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 212211133321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417254699796480).

212211133321320 is an abundant number, since it is smaller than the sum of its proper divisors (622298266271640).

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

212211133321320 is a wasteful number, since it uses less digits than its factorization.

212211133321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81618 (or 81611 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212211133321320 its reverse (23123331112212), we get a palindrome (235334464433532).

The spelling of 212211133321320 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred twenty".