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12010212121120 = 255199133769589
BaseRepresentation
bin1010111011000101100001…
…1011010101101000100000
31120112011110022222121101121
42232301120123111220200
53033233403300333440
641313225411142024
72346465152424253
oct256613033255040
946464408877347
1012010212121120
113910558700624
12141b7ab8a4914
136917343194c5
142d7423d9b09a
1515c62e72e34a
hexaec586d5a20

12010212121120 has 48 divisors (see below), whose sum is σ = 28375558568280. Its totient is φ = 4803842320384.

The previous prime is 12010212121097. The next prime is 12010212121139. The reversal of 12010212121120 is 2112121201021.

It can be written as a sum of positive squares in 4 ways, for example, as 2195600843536 + 9814611277584 = 1481756^2 + 3132828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12010212121094 and 12010212121103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301286 + ... + 5070874.

Almost surely, 212010212121120 is an apocalyptic number.

12010212121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010212121120 is an abundant number, since it is smaller than the sum of its proper divisors (16365346447160).

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

12010212121120 is a wasteful number, since it uses less digits than its factorization.

12010212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789517 (or 3789509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12010212121120 its reverse (2112121201021), we get a palindrome (14122333322141).

The spelling of 12010212121120 in words is "twelve trillion, ten billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 19913 39826 79652 99565 159304 199130 318608 398260 637216 796520 1593040 3186080 3769589 7539178 15078356 18847945 30156712 37695890 60313424 75391780 120626848 150783560 301567120 603134240 75063825757 150127651514 300255303028 375319128785 600510606056 750638257570 1201021212112 1501276515140 2402042424224 3002553030280 6005106060560 12010212121120