Search a number
-
+
12221022110120 = 2351579112136139
BaseRepresentation
bin1011000111010110110110…
…1011101000000110101000
31121021022121001011122000222
42301311231223220012220
53100212123130010440
641554132100545212
72400640214652215
oct261655553500650
947238531148028
1012221022110120
1139919a741a52a
1214546236b2208
136a858c095575
14303701a0ab0c
15162d6bc0d2b5
hexb1d6dae81a8

12221022110120 has 64 divisors (see below), whose sum is σ = 27702830649600. Its totient is φ = 4851938407680.

The previous prime is 12221022110069. The next prime is 12221022110207. The reversal of 12221022110120 is 2101122012221.

12221022110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653011 + ... + 6789149.

It is an arithmetic number, because the mean of its divisors is an integer number (432856728900).

Almost surely, 212221022110120 is an apocalyptic number.

12221022110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221022110120 is an abundant number, since it is smaller than the sum of its proper divisors (15481808539480).

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

12221022110120 is a wasteful number, since it uses less digits than its factorization.

12221022110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137218 (or 2137214 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12221022110120 its reverse (2101122012221), we get a palindrome (14322144122341).

The spelling of 12221022110120 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 911 1256 1570 1822 3140 3644 4555 6280 7288 9110 18220 36440 143027 286054 572108 715135 1144216 1430270 2136139 2860540 4272278 5721080 8544556 10680695 17089112 21361390 42722780 85445560 335373823 670747646 1341495292 1676869115 1946022629 2682990584 3353738230 3892045258 6707476460 7784090516 9730113145 13414952920 15568181032 19460226290 38920452580 77840905160 305525552753 611051105506 1222102211012 1527627763765 2444204422024 3055255527530 6110511055060 12221022110120