221214010032 has 120 divisors (see below), whose sum is σ = 621828684048. Its totient is φ = 73412697600.

The previous prime is 221214010013. The next prime is 221214010037. The reversal of 221214010032 is 230010412122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 221214009987 and 221214010014.

It is not an unprimeable number, because it can be changed into a prime (221214010037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39129318 + ... + 39134970.

Almost surely, 2^221214010032 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 221214010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310914342024).

221214010032 is an abundant number, since it is smaller than the sum of its proper divisors (400614674016).

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

221214010032 is a wasteful number, since it uses less digits than its factorization.

221214010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221214010032 its reverse (230010412122), we get a palindrome (451224422154).

The spelling of 221214010032 in words is "two hundred twenty-one billion, two hundred fourteen million, ten thousand, thirty-two".