221232220002000 has 640 divisors, whose sum is σ = 827287311651840. Its totient is φ = 56407887360000.

The previous prime is 221232220001957. The next prime is 221232220002043. The reversal of 221232220002000 is 200022232122.

221232220002000 is a `hidden beast` number, since 2 + 212 + 32 + 220 + 0 + 0 + 200 + 0 = 666.

221232220002000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221232220001957) and next prime (221232220002043).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3255248020 + ... + 3255315980.

It is an arithmetic number, because the mean of its divisors is an integer number (1292636424456).

Almost surely, 2^{221232220002000} is an apocalyptic number.

221232220002000 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 221232220002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413643655825920).

221232220002000 is an abundant number, since it is smaller than the sum of its proper divisors (606055091649840).

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

221232220002000 is a wasteful number, since it uses less digits than its factorization.

221232220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70637 (or 70615 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 221232220002000 its reverse (200022232122), we get a palindrome (221432242234122).

The spelling of 221232220002000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred twenty million, two thousand".