221222012101200 has 960 divisors, whose sum is σ = 906193785600000. Its totient is φ = 50693581209600.

The previous prime is 221222012101169. The next prime is 221222012101213. The reversal of 221222012101200 is 2101210222122.

It is a happy number.

221222012101200 is a `hidden beast` number, since 2 + 212 + 220 + 1 + 210 + 1 + 20 + 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 191 ways as a sum of consecutive naturals, for example, 1013373661 + ... + 1013591939.

It is an arithmetic number, because the mean of its divisors is an integer number (943951860000).

Almost surely, 2^{221222012101200} is an apocalyptic number.

221222012101200 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 221222012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453096892800000).

221222012101200 is an abundant number, since it is smaller than the sum of its proper divisors (684971773498800).

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

221222012101200 is a wasteful number, since it uses less digits than its factorization.

221222012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218785 (or 218768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221222012101200 its reverse (2101210222122), we get a palindrome (223323222323322).

The spelling of 221222012101200 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twelve million, one hundred one thousand, two hundred".