212221200109072 has 320 divisors, whose sum is σ = 557675994023424. Its totient is φ = 75687744798720.

The previous prime is 212221200109067. The next prime is 212221200109073. The reversal of 212221200109072 is 270901002122212.

It is not an unprimeable number, because it can be changed into a prime (212221200109073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2086830258 + ... + 2086931950.

Almost surely, 2^{212221200109072} is an apocalyptic number.

212221200109072 is a gapful number since it is divisible by the number (22) 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 212221200109072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278837997011712).

212221200109072 is an abundant number, since it is smaller than the sum of its proper divisors (345454793914352).

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

212221200109072 is a wasteful number, since it uses less digits than its factorization.

212221200109072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104466 (or 104460 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 212221200109072 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred million, one hundred nine thousand, seventy-two".