221321011340000 has 480 divisors, whose sum is σ = 677300127156576. Its totient is φ = 69919580160000.

The previous prime is 221321011339933. The next prime is 221321011340047. The reversal of 221321011340000 is 43110123122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46343972 + ... + 50896028.

Almost surely, 2^{221321011340000} is an apocalyptic number.

221321011340000 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 221321011340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338650063578288).

221321011340000 is an abundant number, since it is smaller than the sum of its proper divisors (455979115816576).

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

221321011340000 is a wasteful number, since it uses less digits than its factorization.

221321011340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552128 (or 4552105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221321011340000 its reverse (43110123122), we get a palindrome (221364121463122).

The spelling of 221321011340000 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, eleven million, three hundred forty thousand".