221323000122000 has 960 divisors, whose sum is σ = 908796117325824. Its totient is φ = 49140454809600.

The previous prime is 221323000121989. The next prime is 221323000122031. The reversal of 221323000122000 is 221000323122.

221323000122000 is a `hidden beast` number, since 2 + 213 + 230 + 0 + 0 + 1 + 220 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2876415529 + ... + 2876492471.

Almost surely, 2^{221323000122000} is an apocalyptic number.

221323000122000 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 221323000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454398058662912).

221323000122000 is an abundant number, since it is smaller than the sum of its proper divisors (687473117203824).

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

221323000122000 is a wasteful number, since it uses less digits than its factorization.

221323000122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77633 (or 77614 counting only the distinct ones).

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

Adding to 221323000122000 its reverse (221000323122), we get a palindrome (221544000445122).

The spelling of 221323000122000 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, one hundred twenty-two thousand".