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12000122122120 = 2351127273004823
BaseRepresentation
bin1010111010011111111100…
…0001000010111110001000
31120111012102010212112211221
42232213333001002332020
53033102222230401440
641304440251331424
72345660133022456
oct256477701027610
946435363775757
1012000122122120
113907250105a80
121419854750b74
136907b6aaa6b2
142d6b47ccb9d6
1515c23d9e4d4a
hexae9ff042f88

12000122122120 has 32 divisors (see below), whose sum is σ = 29454845209920. Its totient is φ = 4363680771520.

The previous prime is 12000122122117. The next prime is 12000122122123. The reversal of 12000122122120 is 2122122100021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000122122117) and next prime (12000122122123).

It is a junction number, because it is equal to n+sod(n) for n = 12000122122094 and 12000122122103.

It is not an unprimeable number, because it can be changed into a prime (12000122122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13636501972 + ... + 13636502851.

It is an arithmetic number, because the mean of its divisors is an integer number (920463912810).

Almost surely, 212000122122120 is an apocalyptic number.

12000122122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000122122120 is an abundant number, since it is smaller than the sum of its proper divisors (17454723087800).

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

12000122122120 is a wasteful number, since it uses less digits than its factorization.

12000122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27273004845 (or 27273004841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12000122122120 its reverse (2122122100021), we get a palindrome (14122244222141).

The spelling of 12000122122120 in words is "twelve trillion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 27273004823 54546009646 109092019292 136365024115 218184038584 272730048230 300003053053 545460096460 600006106106 1090920192920 1200012212212 1500015265265 2400024424424 3000030530530 6000061061060 12000122122120