221431210000 has 600 divisors, whose sum is σ = 725621876672. Its totient is φ = 63676800000.

The previous prime is 221431209991. The next prime is 221431210051. The reversal of 221431210000 is 12134122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110108995 + ... + 110111005.

Almost surely, 2^221431210000 is an apocalyptic number.

221431210000 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 221431210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362810938336).

221431210000 is an abundant number, since it is smaller than the sum of its proper divisors (504190666672).

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

221431210000 is a wasteful number, since it uses less digits than its factorization.

221431210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221431210000 its reverse (12134122), we get a palindrome (221443344122).

The spelling of 221431210000 in words is "two hundred twenty-one billion, four hundred thirty-one million, two hundred ten thousand".