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12020012244306 = 2331120235710849
BaseRepresentation
bin1010111011101010000010…
…0011110101110101010010
31120120002202022122110002000
42232322200203311311102
53033413441113304211
641321530053534430
72350263052204053
oct256724043656522
946502668573060
1012020012244306
113914727607190
121421685944416
13692636793771
142d7ab377072a
1515ca04ca9656
hexaeea08f5d52

12020012244306 has 32 divisors (see below), whose sum is σ = 29139423624000. Its totient is φ = 3642427952640.

The previous prime is 12020012244259. The next prime is 12020012244367. The reversal of 12020012244306 is 60344221002021.

12020012244306 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 0 + 1 + 224 + 430 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12020012244306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10117854831 + ... + 10117856018.

It is an arithmetic number, because the mean of its divisors is an integer number (910606988250).

Almost surely, 212020012244306 is an apocalyptic number.

12020012244306 is an abundant number, since it is smaller than the sum of its proper divisors (17119411379694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12020012244306 is a wasteful number, since it uses less digits than its factorization.

12020012244306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235710871 (or 20235710865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12020012244306 its reverse (60344221002021), we get a palindrome (72364233246327).

The spelling of 12020012244306 in words is "twelve trillion, twenty billion, twelve million, two hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20235710849 40471421698 60707132547 121414265094 182121397641 222592819339 364242795282 445185638678 546364192923 667778458017 1092728385846 1335556916034 2003335374051 4006670748102 6010006122153 12020012244306