221322120030000 has 450 divisors, whose sum is σ = 850755340967532. Its totient is φ = 53653844640000.

The previous prime is 221322120029971. The next prime is 221322120030007. The reversal of 221322120030000 is 30021223122.

221322120030000 is a `hidden beast` number, since 2 + 21 + 322 + 1 + 20 + 0 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is not an unprimeable number, because it can be changed into a prime (221322120030007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 728287 + ... + 21051713.

Almost surely, 2^{221322120030000} is an apocalyptic number.

221322120030000 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 221322120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425377670483766).

221322120030000 is an abundant number, since it is smaller than the sum of its proper divisors (629433220937532).

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

221322120030000 is a wasteful number, since it uses less digits than its factorization.

221322120030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20323483 (or 20323448 counting only the distinct ones).

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

Adding to 221322120030000 its reverse (30021223122), we get a palindrome (221352141253122).

The spelling of 221322120030000 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, one hundred twenty million, thirty thousand".