221211210000 has 400 divisors, whose sum is σ = 786848977728. Its totient is φ = 53088000000.

The previous prime is 221211209993. The next prime is 221211210007. The reversal of 221211210000 is 12112122.

It is an interprime number because it is at equal distance from previous prime (221211209993) and next prime (221211210007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221211210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33326682 + ... + 33333318.

Almost surely, 2^221211210000 is an apocalyptic number.

221211210000 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 221211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393424488864).

221211210000 is an abundant number, since it is smaller than the sum of its proper divisors (565637767728).

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

221211210000 is a wasteful number, since it uses less digits than its factorization.

221211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221211210000 its reverse (12112122), we get a palindrome (221223322122).

The spelling of 221211210000 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred ten thousand".