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12120211001120 = 255891018427113
BaseRepresentation
bin1011000001011111010011…
…0111110000111100100000
31120220200101100021200102012
42300113310313300330200
53042034143004013440
641435540441012052
72360441061451355
oct260276467607440
946820340250365
1012120211001120
113953175156212
121438b8a184028
1369bc14513691
142dc89ad6c62c
1516041b6a4e65
hexb05f4df0f20

12120211001120 has 96 divisors (see below), whose sum is σ = 29242422664560. Its totient is φ = 4746149478400.

The previous prime is 12120211001111. The next prime is 12120211001179. The reversal of 12120211001120 is 2110011202121.

12120211001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5274389932816 + 6845821068304 = 2296604^2 + 2616452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12120211001095 and 12120211001104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2775317 + ... + 5651796.

Almost surely, 212120211001120 is an apocalyptic number.

12120211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120211001120 is an abundant number, since it is smaller than the sum of its proper divisors (17122211663440).

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

12120211001120 is a wasteful number, since it uses less digits than its factorization.

12120211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427318 (or 8427310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12120211001120 its reverse (2110011202121), we get a palindrome (14230222203241).

The spelling of 12120211001120 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 101 160 178 202 356 404 445 505 712 808 890 1010 1424 1616 1780 2020 2848 3232 3560 4040 7120 8080 8989 14240 16160 17978 35956 44945 71912 89890 143824 179780 287648 359560 719120 1438240 8427113 16854226 33708452 42135565 67416904 84271130 134833808 168542260 269667616 337084520 674169040 750013057 851138413 1348338080 1500026114 1702276826 3000052228 3404553652 3750065285 4255692065 6000104456 6809107304 7500130570 8511384130 12000208912 13618214608 15000261140 17022768260 24000417824 27236429216 30000522280 34045536520 60001044560 68091073040 75751318757 120002089120 136182146080 151502637514 303005275028 378756593785 606010550056 757513187570 1212021100112 1515026375140 2424042200224 3030052750280 6060105500560 12120211001120