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12004011201 = 3713411072457
BaseRepresentation
bin10110010110111111…
…01010110011000001
31010222120122221200110
423023133222303001
5144041011324301
65303051341533
7603320261130
oct131337526301
933876587613
1012004011201
1150aaa51316
1223b01518a9
131193c3a510
1481c383917
154a3cb40d6
hex2cb7eacc1

12004011201 has 32 divisors (see below), whose sum is σ = 20179369728. Its totient is φ = 6177346560.

The previous prime is 12004011191. The next prime is 12004011263. The reversal of 12004011201 is 10211040021.

It is a happy number.

It is not a de Polignac number, because 12004011201 - 27 = 12004011073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12004011001) 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 31 ways as a sum of consecutive naturals, for example, 525036 + ... + 547421.

It is an arithmetic number, because the mean of its divisors is an integer number (630605304).

Almost surely, 212004011201 is an apocalyptic number.

It is an amenable number.

12004011201 is a deficient number, since it is larger than the sum of its proper divisors (8175358527).

12004011201 is a wasteful number, since it uses less digits than its factorization.

12004011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072521.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12004011201 its reverse (10211040021), we get a palindrome (22215051222).

The spelling of 12004011201 in words is "twelve billion, four million, eleven thousand, two hundred one".

Divisors: 1 3 7 13 21 39 41 91 123 273 287 533 861 1599 3731 11193 1072457 3217371 7507199 13941941 22521597 41825823 43970737 97593587 131912211 292780761 307795159 571619581 923385477 1714858743 4001337067 12004011201