Search a number
-
+
12122010000120 = 2335362412787361
BaseRepresentation
bin1011000001100110000000…
…0110011001101011111000
31120220212000201102022002210
42300121200012121223320
53042101334030000440
641440435143455120
72360533464626406
oct260314006315370
946825021368083
1012122010000120
113953a08696849
1214393b07574a0
1369c140142c27
142dc9cbc64476
151604c45b1a80
hexb0660199af8

12122010000120 has 64 divisors (see below), whose sum is σ = 36367046497440. Its totient is φ = 3232445644800.

The previous prime is 12122010000103. The next prime is 12122010000169. The reversal of 12122010000120 is 2100001022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12122010000096 and 12122010000105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2955240 + ... + 5742600.

Almost surely, 212122010000120 is an apocalyptic number.

12122010000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122010000120 is an abundant number, since it is smaller than the sum of its proper divisors (24245036497320).

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

12122010000120 is a wasteful number, since it uses less digits than its factorization.

12122010000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823616 (or 2823612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122010000120 its reverse (2100001022121), we get a palindrome (14222011022241).

The spelling of 12122010000120 in words is "twelve trillion, one hundred twenty-two billion, ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 36241 72482 108723 144964 181205 217446 289928 362410 434892 543615 724820 869784 1087230 1449640 2174460 2787361 4348920 5574722 8362083 11149444 13936805 16724166 22298888 27873610 33448332 41810415 55747220 66896664 83620830 111494440 167241660 334483320 101016750001 202033500002 303050250003 404067000004 505083750005 606100500006 808134000008 1010167500010 1212201000012 1515251250015 2020335000020 2424402000024 3030502500030 4040670000040 6061005000060 12122010000120