12200221101216 has 96 divisors (see below), whose sum is σ = 33957204644160. Its totient is φ = 3824579414016.

The previous prime is 12200221101181. The next prime is 12200221101217. The reversal of 12200221101216 is 61210112200221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12200221101216² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200221101192 and 12200221101201.

It is not an unprimeable number, because it can be changed into a prime (12200221101217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24161491 + ... + 24661266.

It is an arithmetic number, because the mean of its divisors is an integer number (353720881710).

Almost surely, 2^{12200221101216} is an apocalyptic number.

12200221101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12200221101216 is an abundant number, since it is smaller than the sum of its proper divisors (21756983542944).

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

12200221101216 is a wasteful number, since it uses less digits than its factorization.

12200221101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48822926 (or 48822918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12200221101216 its reverse (61210112200221), we get a palindrome (73410333301437).

The spelling of 12200221101216 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred sixteen".