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12122310120 = 2335208348497
BaseRepresentation
bin10110100101000101…
…11100010111101000
31011021211021011021220
423102202330113220
5144311302410440
65322515102040
7606254636004
oct132242742750
934254234256
1012122310120
115160801018
1224238a1920
1311b25ba08b
1482dd79704
154ae3808d0
hex2d28bc5e8

12122310120 has 64 divisors (see below), whose sum is σ = 36385139520. Its totient is φ = 3230997504.

The previous prime is 12122310113. The next prime is 12122310133. The reversal of 12122310120 is 2101322121.

12122310120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122310120.

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 15 ways as a sum of consecutive naturals, for example, 225712 + ... + 274208.

It is an arithmetic number, because the mean of its divisors is an integer number (568517805).

Almost surely, 212122310120 is an apocalyptic number.

12122310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122310120 is an abundant number, since it is smaller than the sum of its proper divisors (24262829400).

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

12122310120 is a wasteful number, since it uses less digits than its factorization.

12122310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50594 (or 50590 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12122310120 its reverse (2101322121), we get a palindrome (14223632241).

The spelling of 12122310120 in words is "twelve billion, one hundred twenty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2083 4166 6249 8332 10415 12498 16664 20830 24996 31245 41660 48497 49992 62490 83320 96994 124980 145491 193988 242485 249960 290982 387976 484970 581964 727455 969940 1163928 1454910 1939880 2909820 5819640 101019251 202038502 303057753 404077004 505096255 606115506 808154008 1010192510 1212231012 1515288765 2020385020 2424462024 3030577530 4040770040 6061155060 12122310120