212221221984 has 72 divisors (see below), whose sum is σ = 605024587440. Its totient is φ = 70562181888.

The previous prime is 212221221941. The next prime is 212221221991. The reversal of 212221221984 is 489122122212.

It is a happy number.

212221221984 is a `hidden beast` number, since 212 + 221 + 2 + 219 + 8 + 4 = 666.

212221221984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813724 + ... + 1042395.

It is an arithmetic number, because the mean of its divisors is an integer number (8403119270).

Almost surely, 2^212221221984 is an apocalyptic number.

212221221984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212221221984 is an abundant number, since it is smaller than the sum of its proper divisors (392803365456).

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

212221221984 is a wasteful number, since it uses less digits than its factorization.

212221221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856532 (or 1856521 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 212221221984 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred eighty-four".