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12001230113121 = 323041438497209
BaseRepresentation
bin1010111010100100000100…
…0011101100100101100001
31120111022021100202022202200
42232221001003230211201
53033112004402104441
641305142231403413
72346026445550104
oct256510103544541
946438240668680
1012001230113121
113907769589017
121419b03823569
136909324c8682
142d6c1110a73b
1515c2a5e087b6
hexaea410ec961

12001230113121 has 12 divisors (see below), whose sum is σ = 17340810666660. Its totient is φ = 7998189073920.

The previous prime is 12001230113111. The next prime is 12001230113177. The reversal of 12001230113121 is 12131103210021.

12001230113121 is a `hidden beast` number, since 1 + 200 + 1 + 230 + 113 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10213297430625 + 1787932682496 = 3195825^2 + 1337136^2 .

It is not a de Polignac number, because 12001230113121 - 218 = 12001229850977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001230113094 and 12001230113103.

It is not an unprimeable number, because it can be changed into a prime (12001230113111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 219221236 + ... + 219275973.

It is an arithmetic number, because the mean of its divisors is an integer number (1445067555555).

Almost surely, 212001230113121 is an apocalyptic number.

It is an amenable number.

12001230113121 is a deficient number, since it is larger than the sum of its proper divisors (5339580553539).

12001230113121 is a wasteful number, since it uses less digits than its factorization.

12001230113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438500256 (or 438500253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12001230113121 its reverse (12131103210021), we get a palindrome (24132333323142).

The spelling of 12001230113121 in words is "twelve trillion, one billion, two hundred thirty million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 3041 9123 27369 438497209 1315491627 3946474881 1333470012569 4000410037707 12001230113121