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12105004200 = 2335220175007
BaseRepresentation
bin10110100011000001…
…11011010010101000
31011020121200221000220
423101200323102220
5144242340113300
65321100130040
7605654560302
oct132140732250
934217627026
1012105004200
115151a60903
122419b36920
1311abb3aca3
1482b952972
154acab2da0
hex2d183b4a8

12105004200 has 48 divisors (see below), whose sum is σ = 37525514880. Its totient is φ = 3228000960.

The previous prime is 12105004193. The next prime is 12105004229. The reversal of 12105004200 is 240050121.

It is a super-2 number, since 2×121050042002 (a number of 21 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 12105004200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10086904 + ... + 10088103.

It is an arithmetic number, because the mean of its divisors is an integer number (781781560).

Almost surely, 212105004200 is an apocalyptic number.

12105004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105004200 is an abundant number, since it is smaller than the sum of its proper divisors (25420510680).

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

12105004200 is a wasteful number, since it uses less digits than its factorization.

12105004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20175026 (or 20175017 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12105004200 its reverse (240050121), we get a palindrome (12345054321).

The spelling of 12105004200 in words is "twelve billion, one hundred five million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20175007 40350014 60525021 80700028 100875035 121050042 161400056 201750070 242100084 302625105 403500140 484200168 504375175 605250210 807000280 1008750350 1210500420 1513125525 2017500700 2421000840 3026251050 4035001400 6052502100 12105004200