221221101212000 has 192 divisors, whose sum is σ = 551124243057024. Its totient is φ = 87254372966400.

The previous prime is 221221101211969. The next prime is 221221101212057. The reversal of 221221101212000 is 212101122122.

It is a self number, because there is not a number n which added to its sum of digits gives 221221101212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189222997 + ... + 1189409003.

It is an arithmetic number, because the mean of its divisors is an integer number (2870438765922).

Almost surely, 2^{221221101212000} is an apocalyptic number.

221221101212000 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 221221101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562121528512).

221221101212000 is an abundant number, since it is smaller than the sum of its proper divisors (329903141845024).

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

221221101212000 is a wasteful number, since it uses less digits than its factorization.

221221101212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190178 (or 190160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221221101212000 its reverse (212101122122), we get a palindrome (221433202334122).

The spelling of 221221101212000 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred twelve thousand".