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12212120101110 = 2353717596254639
BaseRepresentation
bin1011000110110101101100…
…0101001010000011110110
31121020110121122110201101120
42301231123011022003312
53100040410221213420
641550100500004410
72400203502065166
oct261553305120366
947213548421346
1012212120101110
113989149478396
12145295a390706
136a77a0a04507
143030d96225a6
151629ea43ad40
hexb1b5b14a0f6

12212120101110 has 64 divisors (see below), whose sum is σ = 30118343270400. Its totient is φ = 3166748237952.

The previous prime is 12212120101091. The next prime is 12212120101117. The reversal of 12212120101110 is 1110102121221.

It is a happy number.

12212120101110 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212120101110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212120101117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174830 + ... + 5079809.

It is an arithmetic number, because the mean of its divisors is an integer number (470599113600).

Almost surely, 212212120101110 is an apocalyptic number.

12212120101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12212120101110 is an abundant number, since it is smaller than the sum of its proper divisors (17906223169290).

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

12212120101110 is a wasteful number, since it uses less digits than its factorization.

12212120101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256445.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212120101110 its reverse (1110102121221), we get a palindrome (13322222222331).

The spelling of 12212120101110 in words is "twelve trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1759 3518 5277 8795 10554 17590 26385 52770 65083 130166 195249 325415 390498 650830 976245 1952490 6254639 12509278 18763917 31273195 37527834 62546390 93819585 187639170 231421643 462843286 694264929 1157108215 1388529858 2314216430 3471324645 6942649290 11001910001 22003820002 33005730003 55009550005 66011460006 110019100010 165028650015 330057300030 407070670037 814141340074 1221212010111 2035353350185 2442424020222 4070706700370 6106060050555 12212120101110