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12122011110 = 23511247227313
BaseRepresentation
bin10110100101000011…
…10011010111100110
31011021210200222010110
423102201303113212
5144311213323420
65322504433450
7606252252156
oct132241632746
934253628113
1012122011110
115160617400
122423778886
1311b2513c51
1482dcdc766
154ae321ee0
hex2d28735e6

12122011110 has 192 divisors, whose sum is σ = 32907119616. Its totient is φ = 2854325760.

The previous prime is 12122011093. The next prime is 12122011117. The reversal of 12122011110 is 1111022121.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122011117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38728314 + ... + 38728626.

It is an arithmetic number, because the mean of its divisors is an integer number (171391248).

Almost surely, 212122011110 is an apocalyptic number.

12122011110 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 12122011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453559808).

12122011110 is an abundant number, since it is smaller than the sum of its proper divisors (20785108506).

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

12122011110 is a wasteful number, since it uses less digits than its factorization.

12122011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12122011110 its reverse (1111022121), we get a palindrome (13233033231).

It can be divided in two parts, 12122011 and 110, that added together give a palindrome (12122121).

The spelling of 12122011110 in words is "twelve billion, one hundred twenty-two million, eleven thousand, one hundred ten".