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12131200120 = 2351368334157
BaseRepresentation
bin10110100110001001…
…10110110001111000
31011022102222211002011
423103010312301320
5144321041400440
65323433415304
7606423333244
oct132304666170
934272884064
1012131200120
115165823226
12242686a534
1311b43b0630
14831211424
154b00399ea
hex2d3136c78

12131200120 has 64 divisors (see below), whose sum is σ = 29438730720. Its totient is φ = 4472523264.

The previous prime is 12131200097. The next prime is 12131200121. The reversal of 12131200120 is 2100213121.

12131200120 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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12131200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131200121) 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 15 ways as a sum of consecutive naturals, for example, 338082 + ... + 372238.

Almost surely, 212131200120 is an apocalyptic number.

12131200120 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 12131200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719365360).

12131200120 is an abundant number, since it is smaller than the sum of its proper divisors (17307530600).

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

12131200120 is a wasteful number, since it uses less digits than its factorization.

12131200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34864 (or 34860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12131200120 its reverse (2100213121), we get a palindrome (14231413241).

The spelling of 12131200120 in words is "twelve billion, one hundred thirty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 683 1366 2732 3415 5464 6830 8879 13660 17758 27320 34157 35516 44395 68314 71032 88790 136628 170785 177580 273256 341570 355160 444041 683140 888082 1366280 1776164 2220205 3552328 4440410 8880820 17761640 23329231 46658462 93316924 116646155 186633848 233292310 303280003 466584620 606560006 933169240 1213120012 1516400015 2426240024 3032800030 6065600060 12131200120