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12201122120 = 2351125942727
BaseRepresentation
bin10110101110011111…
…00101100101001000
31011111022120020000212
423113033211211020
5144441441401440
65334412220252
7611232553415
oct132717454510
934438506025
1012201122120
1151a1240700
12244616a688
1311c5a227b5
1483a61310c
154b624c465
hex2d73e5948

12201122120 has 96 divisors (see below), whose sum is σ = 30687249600. Its totient is φ = 4361470080.

The previous prime is 12201122117. The next prime is 12201122159. The reversal of 12201122120 is 2122110221.

It is a junction number, because it is equal to n+sod(n) for n = 12201122095 and 12201122104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264197 + ... + 306923.

It is an arithmetic number, because the mean of its divisors is an integer number (319658850).

Almost surely, 212201122120 is an apocalyptic number.

12201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15343624800).

12201122120 is an abundant number, since it is smaller than the sum of its proper divisors (18486127480).

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

12201122120 is a wasteful number, since it uses less digits than its factorization.

12201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42819 (or 42804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201122120 its reverse (2122110221), we get a palindrome (14323232341).

The spelling of 12201122120 in words is "twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 220 236 242 295 440 472 484 590 605 649 968 1180 1210 1298 2360 2420 2596 3245 4840 5192 6490 7139 12980 14278 25960 28556 35695 42727 57112 71390 85454 142780 170908 213635 285560 341816 427270 469997 854540 939994 1709080 1879988 2349985 2520893 3759976 4699970 5041786 5169967 9399940 10083572 10339934 12604465 18799880 20167144 20679868 25208930 25849835 27729823 41359736 50417860 51699670 55459646 100835720 103399340 110919292 138649115 206798680 221838584 277298230 305028053 554596460 610056106 1109192920 1220112212 1525140265 2440224424 3050280530 6100561060 12201122120