221214411012 has 192 divisors, whose sum is σ = 609736458240. Its totient is φ = 61116177024.

The previous prime is 221214411007. The next prime is 221214411013. The reversal of 221214411012 is 210114412122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 221214411012.

It is not an unprimeable number, because it can be changed into a prime (221214411013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141894289 + ... + 141895847.

It is an arithmetic number, because the mean of its divisors is an integer number (3175710720).

Almost surely, 2^221214411012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221214411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304868229120).

221214411012 is an abundant number, since it is smaller than the sum of its proper divisors (388522047228).

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

221214411012 is a wasteful number, since it uses less digits than its factorization.

221214411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221214411012 its reverse (210114412122), we get a palindrome (431328823134).

The spelling of 221214411012 in words is "two hundred twenty-one billion, two hundred fourteen million, four hundred eleven thousand, twelve".