221211221211000 has 640 divisors, whose sum is σ = 781276958953920. Its totient is φ = 58378320000000.

The previous prime is 221211221210897. The next prime is 221211221211031. The reversal of 221211221211000 is 112122112122.

221211221211000 is a `hidden beast` number, since 2 + 21 + 211 + 221 + 211 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22342306050 + ... + 22342315950.

Almost surely, 2^{221211221211000} is an apocalyptic number.

221211221211000 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 221211221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390638479476960).

221211221211000 is an abundant number, since it is smaller than the sum of its proper divisors (560065737742920).

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

221211221211000 is a wasteful number, since it uses less digits than its factorization.

221211221211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221211221211000 its reverse (112122112122), we get a palindrome (221323343323122).

The spelling of 221211221211000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand".