Search a number
-
+
12122202202110 = 23557111315533209
BaseRepresentation
bin1011000001100110101110…
…0011100101111111111110
31120220212112010002011200000
42300121223203211333332
53042102232230431420
641440510211215130
72360541320415150
oct260315343457776
946825463064600
1012122202202110
113953aa7132a70
121439444ba74a6
1369c170bc9a10
142dca095b6ad0
151604d63ca690
hexb066b8e5ffe

12122202202110 has 768 divisors, whose sum is σ = 43926763345920. Its totient is φ = 2322916392960.

The previous prime is 12122202202109. The next prime is 12122202202127. The reversal of 12122202202110 is 1120220222121.

It is a happy number.

12122202202110 is a `hidden beast` number, since 1 + 2 + 12 + 220 + 220 + 211 + 0 = 666.

It is a super-3 number, since 3×121222022021103 (a number of 40 digits) contains 333 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 383 ways as a sum of consecutive naturals, for example, 3777562186 + ... + 3777565394.

It is an arithmetic number, because the mean of its divisors is an integer number (57196306440).

Almost surely, 212122202202110 is an apocalyptic number.

12122202202110 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 12122202202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963381672960).

12122202202110 is an abundant number, since it is smaller than the sum of its proper divisors (31804561143810).

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

12122202202110 is a wasteful number, since it uses less digits than its factorization.

12122202202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4803 counting only the distinct ones).

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

Adding to 12122202202110 its reverse (1120220222121), we get a palindrome (13242422424231).

The spelling of 12122202202110 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, two hundred two thousand, one hundred ten".