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12310202120 = 2356719124049
BaseRepresentation
bin10110111011011111…
…01100011100001000
31011202220211001122212
423131233230130020
5200202402431440
65353310204252
7614025664046
oct133557543410
934686731585
1012310202120
115247874067
1224767b3688
1312124c5188
1484acc9396
154c0ae7465
hex2ddbec708

12310202120 has 64 divisors (see below), whose sum is σ = 28259712000. Its totient is φ = 4824990720.

The previous prime is 12310202111. The next prime is 12310202123. The reversal of 12310202120 is 2120201321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12310202095 and 12310202104.

It is not an unprimeable number, because it can be changed into a prime (12310202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499856 + ... + 523904.

It is an arithmetic number, because the mean of its divisors is an integer number (441558000).

Almost surely, 212310202120 is an apocalyptic number.

12310202120 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 12310202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129856000).

12310202120 is an abundant number, since it is smaller than the sum of its proper divisors (15949509880).

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

12310202120 is a wasteful number, since it uses less digits than its factorization.

12310202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24318 (or 24314 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12310202120 its reverse (2120201321), we get a palindrome (14430403441).

The spelling of 12310202120 in words is "twelve billion, three hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 191 268 335 382 536 670 764 955 1340 1528 1910 2680 3820 7640 12797 24049 25594 48098 51188 63985 96196 102376 120245 127970 192392 240490 255940 480980 511880 961960 1611283 3222566 4593359 6445132 8056415 9186718 12890264 16112830 18373436 22966795 32225660 36746872 45933590 64451320 91867180 183734360 307755053 615510106 1231020212 1538775265 2462040424 3077550530 6155101060 12310202120