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12001020120101 = 1071136011651511
BaseRepresentation
bin1010111010100011010010…
…0010101000110000100101
31120111021201201121120111102
42232220310202220300211
53033111042122320401
641305105330445445
72346021315622415
oct256506442506045
946437651546442
1012001020120101
113907670aa0171
121419a65433885
136908cab52a4c
142d6bd1286645
1515c29277856b
hexaea348a8c25

12001020120101 has 16 divisors (see below), whose sum is σ = 12240716277888. Its totient is φ = 11764036032000.

The previous prime is 12001020120059. The next prime is 12001020120191. The reversal of 12001020120101 is 10102102010021.

It is a cyclic number.

It is not a de Polignac number, because 12001020120101 - 238 = 11726142213157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001020120191) 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 15 ways as a sum of consecutive naturals, for example, 6440936 + ... + 8092446.

It is an arithmetic number, because the mean of its divisors is an integer number (765044767368).

Almost surely, 212001020120101 is an apocalyptic number.

It is an amenable number.

12001020120101 is a deficient number, since it is larger than the sum of its proper divisors (239696157787).

12001020120101 is a wasteful number, since it uses less digits than its factorization.

12001020120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652332.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001020120101 its reverse (10102102010021), we get a palindrome (22103122130122).

The spelling of 12001020120101 in words is "twelve trillion, one billion, twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 107 113 601 12091 64307 67913 1651511 7266691 176711677 186620743 992558111 19968419501 106203717877 112159066543 12001020120101