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12122202220110 = 2325173713110211601
BaseRepresentation
bin1011000001100110101110…
…0011101010011001001110
31120220212112010010002100200
42300121223203222121032
53042102232232020420
641440510211434330
72360541320521503
oct260315343523116
946825463102320
1012122202220110
113953aa7145544
121439444bb59a6
1369c170c04c78
142dca095bd4aa
151604d63d0b90
hexb066b8ea64e

12122202220110 has 384 divisors, whose sum is σ = 34590695787648. Its totient is φ = 2932899840000.

The previous prime is 12122202220087. The next prime is 12122202220111. The reversal of 12122202220110 is 1102220222121.

It is a happy number.

12122202220110 is a `hidden beast` number, since 1 + 212 + 220 + 2 + 220 + 1 + 10 = 666.

12122202220110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122202220111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7571643310 + ... + 7571644910.

It is an arithmetic number, because the mean of its divisors is an integer number (90079936947).

Almost surely, 212122202220110 is an apocalyptic number.

12122202220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122202220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295347893824).

12122202220110 is an abundant number, since it is smaller than the sum of its proper divisors (22468493567538).

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

12122202220110 is a wasteful number, since it uses less digits than its factorization.

12122202220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2817 counting only the distinct ones).

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

Adding to 12122202220110 its reverse (1102220222121), we get a palindrome (13224422442231).

The spelling of 12122202220110 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty thousand, one hundred ten".