221220312000 has 224 divisors, whose sum is σ = 733544847360. Its totient is φ = 58743731200.

The previous prime is 221220311899. The next prime is 221220312037. The reversal of 221220312000 is 213022122.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5716717 + ... + 5755283.

Almost surely, 2^221220312000 is an apocalyptic number.

221220312000 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 221220312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366772423680).

221220312000 is an abundant number, since it is smaller than the sum of its proper divisors (512324535360).

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

221220312000 is a wasteful number, since it uses less digits than its factorization.

221220312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38836 (or 38816 counting only the distinct ones).

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

Adding to 221220312000 its reverse (213022122), we get a palindrome (221433334122).

The spelling of 221220312000 in words is "two hundred twenty-one billion, two hundred twenty million, three hundred twelve thousand".