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12000120010221 = 373141988349823
BaseRepresentation
bin1010111010011111111011…
…1000111111010111101101
31120111012101222220020212110
42232213332320333113231
53033102221210311341
641304440134154233
72345660106045360
oct256477670772755
946435358806773
1012000120010221
1139072499a3302
121419853ab2979
136907b651b355
142d6b478dc0d7
1515c23d729216
hexae9fee3f5ed

12000120010221 has 64 divisors (see below), whose sum is σ = 18942622433280. Its totient is φ = 6612543241920.

The previous prime is 12000120010213. The next prime is 12000120010267. The reversal of 12000120010221 is 12201002100021.

It is not a de Polignac number, because 12000120010221 - 23 = 12000120010213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000120010197 and 12000120010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000120010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240830116 + ... + 240879938.

It is an arithmetic number, because the mean of its divisors is an integer number (295978475520).

Almost surely, 212000120010221 is an apocalyptic number.

It is an amenable number.

12000120010221 is a deficient number, since it is larger than the sum of its proper divisors (6942502423059).

12000120010221 is a wasteful number, since it uses less digits than its factorization.

12000120010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51166.

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

Adding to 12000120010221 its reverse (12201002100021), we get a palindrome (24201122110242).

The spelling of 12000120010221 in words is "twelve trillion, one hundred twenty million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 21 31 93 217 419 651 883 1257 2649 2933 6181 8799 12989 18543 27373 38967 49823 82119 90923 149469 191611 272769 348761 369977 574833 1046283 1109931 1544513 2589839 4633539 7769517 10811591 11469287 20875837 32434773 34407861 43993709 62627511 80285009 131981127 146130859 240855027 307955963 438392577 647150947 923867889 1363804979 1941452841 4091414937 4530056629 9546634853 13590169887 18433364071 28639904559 55300092213 129033548497 387100645491 571434286201 1714302858603 4000040003407 12000120010221