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12051314554401 = 3237126412862917
BaseRepresentation
bin1010111101011110101001…
…0100101011011000100001
31120200002112211110120001100
42233113222110223120201
53034422043011220101
641344144131025013
72352451544354253
oct257275224533041
946602484416040
1012051314554401
113926a2a986051
121427760a3b169
136955848c2145
142d9402b3bcd3
1515d737dcce86
hexaf5ea52b621

12051314554401 has 24 divisors (see below), whose sum is σ = 17879346621864. Its totient is φ = 7816447779840.

The previous prime is 12051314554393. The next prime is 12051314554403. The reversal of 12051314554401 is 10445541315021.

12051314554401 is a `hidden beast` number, since 1 + 2 + 0 + 51 + 3 + 14 + 554 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6909599376 + 12044404955025 = 83124^2 + 3470505^2 .

It is not a de Polignac number, because 12051314554401 - 23 = 12051314554393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12051314554403) 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 23 ways as a sum of consecutive naturals, for example, 2777995 + ... + 5640911.

It is an arithmetic number, because the mean of its divisors is an integer number (744972775911).

Almost surely, 212051314554401 is an apocalyptic number.

It is an amenable number.

12051314554401 is a deficient number, since it is larger than the sum of its proper divisors (5828032067463).

12051314554401 is a wasteful number, since it uses less digits than its factorization.

12051314554401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875601 (or 2875598 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 12051314554401 its reverse (10445541315021), we get a palindrome (22496855869422).

The spelling of 12051314554401 in words is "twelve trillion, fifty-one billion, three hundred fourteen million, five hundred fifty-four thousand, four hundred one".

Divisors: 1 3 9 37 111 333 12641 37923 113769 467717 1403151 2862917 4209453 8588751 25766253 105927929 317783787 953351361 36190133797 108570401391 325711204173 1339034950489 4017104851467 12051314554401