12200121022212 has 540 divisors, whose sum is σ = 35366602512780. Its totient is φ = 3666454108416.

The previous prime is 12200121022153. The next prime is 12200121022217. The reversal of 12200121022212 is 21222012100221.

It is a happy number.

12200121022212 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 210 + 22 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6778972493316 + 5421148528896 = 2603646^2 + 2328336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12200121022217) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16644093798 + ... + 16644094530.

It is an arithmetic number, because the mean of its divisors is an integer number (65493708357).

Almost surely, 2^{12200121022212} is an apocalyptic number.

12200121022212 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 12200121022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683301256390).

12200121022212 is an abundant number, since it is smaller than the sum of its proper divisors (23166481490568).

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

12200121022212 is a wasteful number, since it uses less digits than its factorization.

12200121022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1049 counting only the distinct ones).

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

Adding to 12200121022212 its reverse (21222012100221), we get a palindrome (33422133122433).

The spelling of 12200121022212 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, twenty-two thousand, two hundred twelve".