221201304000 has 448 divisors, whose sum is σ = 773668426752. Its totient is φ = 55570944000.

The previous prime is 221201303969. The next prime is 221201304001. The reversal of 221201304000 is 403102122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36981010 + ... + 36986990.

Almost surely, 2^221201304000 is an apocalyptic number.

221201304000 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 221201304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386834213376).

221201304000 is an abundant number, since it is smaller than the sum of its proper divisors (552467122752).

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

221201304000 is a wasteful number, since it uses less digits than its factorization.

221201304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221201304000 its reverse (403102122), we get a palindrome (221604406122).

The spelling of 221201304000 in words is "two hundred twenty-one billion, two hundred one million, three hundred four thousand".