221312003022000 has 480 divisors, whose sum is σ = 845251790423040. Its totient is φ = 53523328320000.

The previous prime is 221312003021957. The next prime is 221312003022023. The reversal of 221312003022000 is 220300213122.

221312003022000 is a `hidden beast` number, since 2 + 213 + 1 + 200 + 30 + 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 95 ways as a sum of consecutive naturals, for example, 81628185 + ... + 84295815.

It is an arithmetic number, because the mean of its divisors is an integer number (1760941230048).

Almost surely, 2^{221312003022000} is an apocalyptic number.

221312003022000 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 221312003022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422625895211520).

221312003022000 is an abundant number, since it is smaller than the sum of its proper divisors (623939787401040).

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

221312003022000 is a wasteful number, since it uses less digits than its factorization.

221312003022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668090 (or 2668071 counting only the distinct ones).

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

Adding to 221312003022000 its reverse (220300213122), we get a palindrome (221532303235122).

The spelling of 221312003022000 in words is "two hundred twenty-one trillion, three hundred twelve billion, three million, twenty-two thousand".