221120000211220 has 48 divisors (see below), whose sum is σ = 522906651542016. Its totient is φ = 77813489808000.

The previous prime is 221120000211211. The next prime is 221120000211223. The reversal of 221120000211220 is 22112000021122.

It is a happy number.

It is a super-2 number, since 2×221120000211220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221120000211194 and 221120000211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120000211223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16211136891 + ... + 16211150530.

It is an arithmetic number, because the mean of its divisors is an integer number (10893888573792).

Almost surely, 2^{221120000211220} is an apocalyptic number.

221120000211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120000211220 is an abundant number, since it is smaller than the sum of its proper divisors (301786651330796).

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

221120000211220 is a wasteful number, since it uses less digits than its factorization.

221120000211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32422287472 (or 32422287470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221120000211220 its reverse (22112000021122), we get a palindrome (243232000232342).

The spelling of 221120000211220 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred eleven thousand, two hundred twenty".