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12022434200 = 2352721226779
BaseRepresentation
bin10110011001001011…
…11100100110011000
31011000212022221021202
423030211330212120
5144110220343300
65304550253332
7603633001400
oct131445744630
934025287252
1012022434200
11510a394837
1223b6357248
1311979babba
148209bb800
154a5702ad5
hex2cc97c998

12022434200 has 72 divisors (see below), whose sum is σ = 32515803900. Its totient is φ = 4121974080.

The previous prime is 12022434191. The next prime is 12022434233. The reversal of 12022434200 is 243422021.

12022434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 603590 + ... + 623189.

Almost surely, 212022434200 is an apocalyptic number.

12022434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022434200 is an abundant number, since it is smaller than the sum of its proper divisors (20493369700).

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

12022434200 is a wasteful number, since it uses less digits than its factorization.

12022434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226809 (or 1226793 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12022434200 its reverse (243422021), we get a palindrome (12265856221).

The spelling of 12022434200 in words is "twelve billion, twenty-two million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 1226779 2453558 4907116 6133895 8587453 9814232 12267790 17174906 24535580 30669475 34349812 42937265 49071160 60112171 61338950 68699624 85874530 120224342 122677900 171749060 214686325 240448684 245355800 300560855 343498120 429372650 480897368 601121710 858745300 1202243420 1502804275 1717490600 2404486840 3005608550 6011217100 12022434200