Search a number
-
+
12201110111220 = 22355310735858197
BaseRepresentation
bin1011000110001100101011…
…0101011000001111110100
31121012102012100020021121020
42301203022311120033310
53044400333142024340
641541040153421140
72366333611524252
oct261431265301764
947172170207536
1012201110111220
113984509636a98
1214507a710a7b0
136a67379bcab4
143027732b15d2
151625a3a769d0
hexb18cad583f4

12201110111220 has 96 divisors (see below), whose sum is σ = 35133001803648. Its totient is φ = 3162406021632.

The previous prime is 12201110111161. The next prime is 12201110111233. The reversal of 12201110111220 is 2211101110221.

It is a happy number.

12201110111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122011101112202 (a number of 27 digits) contains 22 as substring.

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 12201110111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17588839 + ... + 18269358.

It is an arithmetic number, because the mean of its divisors is an integer number (365968768788).

Almost surely, 212201110111220 is an apocalyptic number.

12201110111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201110111220 is an abundant number, since it is smaller than the sum of its proper divisors (22931891692428).

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

12201110111220 is a wasteful number, since it uses less digits than its factorization.

12201110111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35858369 (or 35858367 counting only the distinct ones).

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

Adding to 12201110111220 its reverse (2211101110221), we get a palindrome (14412211221441).

Subtracting from 12201110111220 its reverse (2211101110221), we obtain a palindrome (9990009000999).

The spelling of 12201110111220 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 107 159 212 214 265 318 321 428 530 535 636 642 795 1060 1070 1284 1590 1605 2140 3180 3210 5671 6420 11342 17013 22684 28355 34026 56710 68052 85065 113420 170130 340260 35858197 71716394 107574591 143432788 179290985 215149182 358581970 430298364 537872955 717163940 1075745910 1900484441 2151491820 3800968882 3836827079 5701453323 7601937764 7673654158 9502422205 11402906646 11510481237 15347308316 19004844410 19184135395 22805813292 23020962474 28507266615 38009688820 38368270790 46041924948 57014533230 57552406185 76736541580 114029066460 115104812370 203351835187 230209624740 406703670374 610055505561 813407340748 1016759175935 1220111011122 2033518351870 2440222022244 3050277527805 4067036703740 6100555055610 12201110111220