12200122120212 has 144 divisors (see below), whose sum is σ = 34111710032400. Its totient is φ = 3652142598144.

The previous prime is 12200122120183. The next prime is 12200122120261. The reversal of 12200122120212 is 21202122100221.

It is a happy number.

12200122120212 is a `hidden beast` number, since 12 + 200 + 1 + 221 + 20 + 212 = 666.

12200122120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1418395249296 + 10781726870916 = 1190964^2 + 3283554^2 .

It is a super-2 number, since 2×12200122120212² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353107914 + ... + 353142462.

It is an arithmetic number, because the mean of its divisors is an integer number (236886875225).

Almost surely, 2^{12200122120212} is an apocalyptic number.

12200122120212 is a gapful number since it is divisible by the number (12) 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 12200122120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055855016200).

12200122120212 is an abundant number, since it is smaller than the sum of its proper divisors (21911587912188).

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

12200122120212 is a wasteful number, since it uses less digits than its factorization.

12200122120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55002 (or 54997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200122120212 its reverse (21202122100221), we get a palindrome (33402244220433).

The spelling of 12200122120212 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twelve".