221320023000000 has 392 divisors, whose sum is σ = 734746237627776. Its totient is φ = 58794057600000.

The previous prime is 221320022999947. The next prime is 221320023000007. The reversal of 221320023000000 is 320023122.

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 (221320023000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 788859747 + ... + 789140253.

Almost surely, 2^{221320023000000} is an apocalyptic number.

221320023000000 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 221320023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367373118813888).

221320023000000 is an abundant number, since it is smaller than the sum of its proper divisors (513426214627776).

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

221320023000000 is an frugal number, since it uses more digits than its factorization.

221320023000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280815 (or 280780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221320023000000 its reverse (320023122), we get a palindrome (221320343023122).

The spelling of 221320023000000 in words is "two hundred twenty-one trillion, three hundred twenty billion, twenty-three million", and thus it is an aban number.