221123322000 has 480 divisors, whose sum is σ = 906514312704. Its totient is φ = 49175424000.

The previous prime is 221123321987. The next prime is 221123322023. The reversal of 221123322000 is 223321122.

221123322000 is a `hidden beast` number, since 2 + 211 + 233 + 220 + 0 + 0 = 666.

221123322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4638285 + ... + 4685715.

Almost surely, 2^221123322000 is an apocalyptic number.

221123322000 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 221123322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453257156352).

221123322000 is an abundant number, since it is smaller than the sum of its proper divisors (685390990704).

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

221123322000 is a wasteful number, since it uses less digits than its factorization.

221123322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47504 (or 47485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221123322000 its reverse (223321122), we get a palindrome (221346643122).

The spelling of 221123322000 in words is "two hundred twenty-one billion, one hundred twenty-three million, three hundred twenty-two thousand".