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12114122200 = 235260570611
BaseRepresentation
bin10110100100000111…
…01101010111011000
31011021020212011120121
423102003231113120
5144302203402300
65322023403024
7606125224345
oct132203552730
934236764517
1012114122200
115157119344
122420bb3474
1311b09b125b
1482cc477cc
154ad7b481a
hex2d20ed5d8

12114122200 has 24 divisors (see below), whose sum is σ = 28165334580. Its totient is φ = 4845648800.

The previous prime is 12114122039. The next prime is 12114122227. The reversal of 12114122200 is 222141121.

12114122200 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-3 number, since 3×121141222003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30285106 + ... + 30285505.

Almost surely, 212114122200 is an apocalyptic number.

12114122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114122200 is an abundant number, since it is smaller than the sum of its proper divisors (16051212380).

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

12114122200 is a wasteful number, since it uses less digits than its factorization.

12114122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60570627 (or 60570618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12114122200 its reverse (222141121), we get a palindrome (12336263321).

It can be divided in two parts, 121141 and 22200, that added together give a palindrome (143341).

The spelling of 12114122200 in words is "twelve billion, one hundred fourteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60570611 121141222 242282444 302853055 484564888 605706110 1211412220 1514265275 2422824440 3028530550 6057061100 12114122200