221036323630122 has 432 divisors, whose sum is σ = 665870590659456. Its totient is φ = 51563341843200.

The previous prime is 221036323630079. The next prime is 221036323630181.

It is a happy number.

221036323630122 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 3 + 6 + 3 + 2 + 3 + 630 + 12 + 2 = 666.

221036323630122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 270925747 + ... + 271740377.

It is an arithmetic number, because the mean of its divisors is an integer number (1541367108008).

Almost surely, 2^{221036323630122} is an apocalyptic number.

221036323630122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221036323630122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332935295329728).

221036323630122 is an abundant number, since it is smaller than the sum of its proper divisors (444834267029334).

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

221036323630122 is a wasteful number, since it uses less digits than its factorization.

221036323630122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814755 (or 814704 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 221036323630122 in words is "two hundred twenty-one trillion, thirty-six billion, three hundred twenty-three million, six hundred thirty thousand, one hundred twenty-two".