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12000066000021 = 32112114011432589
BaseRepresentation
bin1010111010011111101110…
…1010111101010010010101
31120111012021020021020210200
42232213323222331102111
53033102113344000041
641304430524411113
72345655552006261
oct256477352752225
946435236236720
1012000066000021
113907221463680
1214198399a6a99
136907a828a858
142d6b4067d0a1
1515c238b0b1b6
hexae9fbabd495

12000066000021 has 48 divisors (see below), whose sum is σ = 19046203824960. Its totient is φ = 7220243520000.

The previous prime is 12000066000017. The next prime is 12000066000047.

It is a happy number.

12000066000021 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 0 + 660 + 0 + 0 + 0 + 2 + 1 = 666.

12000066000021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12000066000021 - 22 = 12000066000017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000065999958 and 12000066000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000066000521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7660195 + ... + 9092783.

It is an arithmetic number, because the mean of its divisors is an integer number (396795913020).

Almost surely, 212000066000021 is an apocalyptic number.

12000066000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000066000021 is a deficient number, since it is larger than the sum of its proper divisors (7046137824939).

12000066000021 is a wasteful number, since it uses less digits than its factorization.

12000066000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433218 (or 1433215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1200006 and 6000021, that added together give a palindrome (7200027).

The spelling of 12000066000021 in words is "twelve trillion, sixty-six million, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 3 9 11 33 99 211 401 633 1203 1899 2321 3609 4411 6963 13233 20889 39699 84611 253833 761499 930721 1432589 2792163 4297767 8376489 12893301 15758479 47275437 141826311 302276279 574468189 906828837 1723404567 2720486511 3325039069 5170213701 6319150079 9975117207 18957450237 29925351621 56872350711 121212787879 363638363637 1090915090911 1333340666669 4000022000007 12000066000021