221015312000 has 256 divisors, whose sum is σ = 637393985280. Its totient is φ = 74643148800.

The previous prime is 221015311997. The next prime is 221015312029. The reversal of 221015312000 is 213510122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221015312000.

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, 7489274 + ... + 7518726.

It is an arithmetic number, because the mean of its divisors is an integer number (2489820255).

Almost surely, 2^221015312000 is an apocalyptic number.

221015312000 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 221015312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318696992640).

221015312000 is an abundant number, since it is smaller than the sum of its proper divisors (416378673280).

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

221015312000 is an equidigital number, since it uses as much as digits as its factorization.

221015312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29556 (or 29534 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 221015312000 its reverse (213510122), we get a palindrome (221228822122).

The spelling of 221015312000 in words is "two hundred twenty-one billion, fifteen million, three hundred twelve thousand".