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12044004120401 = 1122345710743781
BaseRepresentation
bin1010111101000011011010…
…0101100101011101010001
31120122101200100121000212112
42233100312211211131101
53034312110023323101
641340534503035105
72352102435610511
oct257206645453521
946571610530775
1012044004120401
113923919380860
12142626073ba95
1369498b1a7156
142d8d0bc93841
1515d45b1e36bb
hexaf436965751

12044004120401 has 16 divisors (see below), whose sum is σ = 13226712995328. Its totient is φ = 10876143369600.

The previous prime is 12044004120367. The next prime is 12044004120479. The reversal of 12044004120401 is 10402140044021.

It is a cyclic number.

It is not a de Polignac number, because 12044004120401 - 210 = 12044004119377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12044004122401) 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 15 ways as a sum of consecutive naturals, for example, 4250870 + ... + 6492911.

It is an arithmetic number, because the mean of its divisors is an integer number (826669562208).

Almost surely, 212044004120401 is an apocalyptic number.

12044004120401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12044004120401 is a deficient number, since it is larger than the sum of its proper divisors (1182708874927).

12044004120401 is a wasteful number, since it uses less digits than its factorization.

12044004120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744472.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12044004120401 its reverse (10402140044021), we get a palindrome (22446144164422).

The spelling of 12044004120401 in words is "twelve trillion, forty-four billion, four million, one hundred twenty thousand, four hundred one".

Divisors: 1 11 223 457 2453 5027 101911 1121021 10743781 118181591 2395863163 4909907917 26354494793 54008987087 1094909465491 12044004120401