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12022313200 = 245230055783
BaseRepresentation
bin10110011001001010…
…11111000011110000
31011000212002210022021
423030211133003300
5144110203010300
65304543521224
7603631655542
oct131445370360
934025083267
1012022313200
11510a311937
1223b62b9214
131197977ac1
14820989692
154a56cbd1a
hex2cc95f0f0

12022313200 has 30 divisors (see below), whose sum is σ = 28883608424. Its totient is φ = 4808925120.

The previous prime is 12022313179. The next prime is 12022313203. The reversal of 12022313200 is 231322021.

12022313200 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022313203) by changing a digit.

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, 15027492 + ... + 15028291.

Almost surely, 212022313200 is an apocalyptic number.

12022313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022313200 is an abundant number, since it is smaller than the sum of its proper divisors (16861295224).

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

12022313200 is a wasteful number, since it uses less digits than its factorization.

12022313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30055801 (or 30055790 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12022313200 its reverse (231322021), we get a palindrome (12253635221).

The spelling of 12022313200 in words is "twelve billion, twenty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30055783 60111566 120223132 150278915 240446264 300557830 480892528 601115660 751394575 1202231320 1502789150 2404462640 3005578300 6011156600 12022313200