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12120002110020 = 2235728857147881
BaseRepresentation
bin1011000001011110100001…
…1010111010001001000100
31120220122211210012220200210
42300113220122322021010
53042033231020010040
641435504015435420
72360432644063410
oct260275032721104
946818753186623
1012120002110020
113953078250242
121438b30225b70
1369bbb016548c
142dc87b313d40
15160408191480
hexb05e86ba244

12120002110020 has 48 divisors (see below), whose sum is σ = 38784006753408. Its totient is φ = 2770286196480.

The previous prime is 12120002110009. The next prime is 12120002110121. The reversal of 12120002110020 is 2001120002121.

It is a super-2 number, since 2×121200021100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12120002109978 and 12120002110005.

It is an unprimeable number.

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, 14428573521 + ... + 14428574360.

It is an arithmetic number, because the mean of its divisors is an integer number (808000140696).

Almost surely, 212120002110020 is an apocalyptic number.

12120002110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120002110020 is an abundant number, since it is smaller than the sum of its proper divisors (26664004643388).

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

12120002110020 is a wasteful number, since it uses less digits than its factorization.

12120002110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28857147900 (or 28857147898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120002110020 its reverse (2001120002121), we get a palindrome (14121122112141).

The spelling of 12120002110020 in words is "twelve trillion, one hundred twenty billion, two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 28857147881 57714295762 86571443643 115428591524 144285739405 173142887286 202000035167 288571478810 346285774572 404000070334 432857218215 577142957620 606000105501 808000140668 865714436430 1010000175835 1212000211002 1731428872860 2020000351670 2424000422004 3030000527505 4040000703340 6060001055010 12120002110020