211221022000000 has 224 divisors, whose sum is σ = 556923390039360. Its totient is φ = 79518489600000.

The previous prime is 211221021999991. The next prime is 211221022000007. The reversal of 211221022000000 is 220122112.

It is a happy number.

It is a super-2 number, since 2×211221022000000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221022000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30893809 + ... + 37106191.

Almost surely, 2^{211221022000000} is an apocalyptic number.

211221022000000 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 211221022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278461695019680).

211221022000000 is an abundant number, since it is smaller than the sum of its proper divisors (345702368039360).

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

211221022000000 is an frugal number, since it uses more digits than its factorization.

211221022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212444 (or 6212407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211221022000000 its reverse (220122112), we get a palindrome (211221242122112).

The spelling of 211221022000000 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty-two million", and thus it is an aban number.