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12001121203113 = 327491653594137
BaseRepresentation
bin1010111010100011101010…
…0100001111001110101001
31120111021222202211010022200
42232220322210033032221
53033111244011444423
641305123341210413
72346023654045160
oct256507244171651
946437882733280
1012001121203113
113907713061349
121419a93260a09
13690915a85493
142d6c0087a3d7
1515c29b593d43
hexaea3a90f3a9

12001121203113 has 48 divisors (see below), whose sum is σ = 19882157982336. Its totient is φ = 6833324494080.

The previous prime is 12001121202977. The next prime is 12001121203117. The reversal of 12001121203113 is 31130212110021.

12001121203113 is a `hidden beast` number, since 120 + 0 + 112 + 120 + 311 + 3 = 666.

It is not a de Polignac number, because 12001121203113 - 214 = 12001121186729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001121203117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19902181 + ... + 20496317.

It is an arithmetic number, because the mean of its divisors is an integer number (414211624632).

Almost surely, 212001121203113 is an apocalyptic number.

It is an amenable number.

12001121203113 is a deficient number, since it is larger than the sum of its proper divisors (7881036779223).

12001121203113 is a wasteful number, since it uses less digits than its factorization.

12001121203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595294 (or 595291 counting only the distinct ones).

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

Adding to 12001121203113 its reverse (31130212110021), we get a palindrome (43131333313134).

The spelling of 12001121203113 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred three thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 491 653 1473 1959 3437 4419 4571 5877 10311 13713 30933 41139 320623 594137 961869 1782411 2244361 2885607 4158959 5347233 6733083 12476877 20199249 37430631 291721267 387971461 875163801 1163914383 2042048869 2625491403 2715800227 3491743149 6126146607 8147400681 18378439821 24442202043 190493987351 571481962053 1333457911457 1714445886159 4000373734371 12001121203113