221210014000 has 160 divisors (see below), whose sum is σ = 550538906112. Its totient is φ = 85932000000.

The previous prime is 221210013967. The next prime is 221210014001. The reversal of 221210014000 is 410012122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221210014001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9502375 + ... + 9525625.

Almost surely, 2^221210014000 is an apocalyptic number.

221210014000 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 221210014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275269453056).

221210014000 is an abundant number, since it is smaller than the sum of its proper divisors (329328892112).

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

221210014000 is a wasteful number, since it uses less digits than its factorization.

221210014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221210014000 its reverse (410012122), we get a palindrome (221620026122).

The spelling of 221210014000 in words is "two hundred twenty-one billion, two hundred ten million, fourteen thousand".