221201201222120 has 64 divisors (see below), whose sum is σ = 582676334956800. Its totient is φ = 73990645701120.

The previous prime is 221201201222069. The next prime is 221201201222147. The reversal of 221201201222120 is 21222102102122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221201201222092 and 221201201222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9634187180 + ... + 9634210139.

It is an arithmetic number, because the mean of its divisors is an integer number (9104317733700).

Almost surely, 2^{221201201222120} is an apocalyptic number.

221201201222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201201222120 is an abundant number, since it is smaller than the sum of its proper divisors (361475133734680).

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

221201201222120 is a wasteful number, since it uses less digits than its factorization.

221201201222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268397378 (or 19268397374 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221201201222120 its reverse (21222102102122), we get a palindrome (242423303324242).

The spelling of 221201201222120 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".