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12003102131121 = 3222925722661173
BaseRepresentation
bin1010111010101011000010…
…1000111000001110110001
31120111111002211021200200200
42232222300220320032301
53033124323121143441
641310052103305413
72346124026464403
oct256526050701661
946444084250620
1012003102131121
11390853a261932
12141a34674b269
13690b702b292a
142d6d4b9acb73
1515c36543a7b6
hexaeab0a383b1

12003102131121 has 24 divisors (see below), whose sum is σ = 17481282847080. Its totient is φ = 7936123723776.

The previous prime is 12003102131099. The next prime is 12003102131129. The reversal of 12003102131121 is 12113120130021.

12003102131121 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 310 + 21 + 311 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4242219912225 + 7760882218896 = 2059665^2 + 2785836^2 .

It is not a de Polignac number, because 12003102131121 - 217 = 12003102000049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12003102131094 and 12003102131103.

It is not an unprimeable number, because it can be changed into a prime (12003102131129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10800910 + ... + 11860263.

It is an arithmetic number, because the mean of its divisors is an integer number (728386785295).

Almost surely, 212003102131121 is an apocalyptic number.

It is an amenable number.

12003102131121 is a deficient number, since it is larger than the sum of its proper divisors (5478180715959).

12003102131121 is a wasteful number, since it uses less digits than its factorization.

12003102131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22661665 (or 22661662 counting only the distinct ones).

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

Adding to 12003102131121 its reverse (12113120130021), we get a palindrome (24116222261142).

The spelling of 12003102131121 in words is "twelve trillion, three billion, one hundred two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 229 257 687 771 2061 2313 58853 176559 529677 22661173 67983519 203950557 5189408617 5823921461 15568225851 17471764383 46704677553 52415293149 1333678014569 4001034043707 12003102131121