Search a number
-
+
12011112122020 = 225111823271111047
BaseRepresentation
bin1010111011001000111000…
…0100100100011010100100
31120112020210001111101112021
42232302032010210122210
53033242224200401040
641313455001232524
72346526361335504
oct256621604443244
946466701441467
1012011112122020
11391097a733620
12141ba01192744
1369184891340b
142d74ab717a04
1515c68375b24a
hexaec8e1246a4

12011112122020 has 96 divisors (see below), whose sum is σ = 27544108548096. Its totient is φ = 4363276041600.

The previous prime is 12011112122011. The next prime is 12011112122021. The reversal of 12011112122020 is 2022121111021.

It is a junction number, because it is equal to n+sod(n) for n = 12011112121985 and 12011112122003.

It is not an unprimeable number, because it can be changed into a prime (12011112122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087268137 + ... + 1087279183.

It is an arithmetic number, because the mean of its divisors is an integer number (286917797376).

Almost surely, 212011112122020 is an apocalyptic number.

12011112122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011112122020 is an abundant number, since it is smaller than the sum of its proper divisors (15532996426076).

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

12011112122020 is a wasteful number, since it uses less digits than its factorization.

12011112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15601 (or 15599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011112122020 its reverse (2022121111021), we get a palindrome (14033233233041).

The spelling of 12011112122020 in words is "twelve trillion, eleven billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1823 2711 3646 5422 7292 9115 10844 11047 13555 18230 20053 22094 27110 29821 36460 40106 44188 54220 55235 59642 80212 100265 110470 119284 121517 149105 200530 220940 243034 298210 401060 486068 596420 607585 1215170 2430340 4942153 9884306 19768612 20138681 24710765 29948417 40277362 49421530 54363683 59896834 80554724 98843060 100693405 108727366 119793668 149742085 201386810 217454732 221525491 271818415 299484170 329432587 402773620 443050982 543636830 598968340 658865174 886101964 1087273660 1107627455 1317730348 1647162935 2215254910 3294325870 4430509820 6588651740 54595964191 109191928382 218383856764 272979820955 545959641910 600555606101 1091919283820 1201111212202 2402222424404 3002778030505 6005556061010 12011112122020