221333012213220 has 480 divisors, whose sum is σ = 717625297509120. Its totient is φ = 57062680519680.

The previous prime is 221333012213171. The next prime is 221333012213227. The reversal of 221333012213220 is 22312210333122.

221333012213220 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 330 + 1 + 2 + 2 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221333012213227) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14310007927 + ... + 14310023393.

It is an arithmetic number, because the mean of its divisors is an integer number (1495052703144).

Almost surely, 2^{221333012213220} is an apocalyptic number.

221333012213220 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 221333012213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358812648754560).

221333012213220 is an abundant number, since it is smaller than the sum of its proper divisors (496292285295900).

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

221333012213220 is a wasteful number, since it uses less digits than its factorization.

221333012213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025 (or 17014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221333012213220 its reverse (22312210333122), we get a palindrome (243645222546342).

The spelling of 221333012213220 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, twelve million, two hundred thirteen thousand, two hundred twenty".