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12041233323201 = 35389275346271
BaseRepresentation
bin1010111100111001000101…
…1011110101010011000001
31120122010112020211221200000
42233032101123311103001
53034240421212320301
641335355523150213
72351643662330535
oct257162133652301
946563466757600
1012041233323201
113922727329915
121425808815369
13694639133094
142d8b27cb1bc5
1515d347d26786
hexaf3916f54c1

12041233323201 has 48 divisors (see below), whose sum is σ = 18090401172480. Its totient is φ = 8003771274240.

The previous prime is 12041233323169. The next prime is 12041233323227. The reversal of 12041233323201 is 10232333214021.

12041233323201 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 2 + 3 + 332 + 320 + 1 = 666.

It is not a de Polignac number, because 12041233323201 - 25 = 12041233323169 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12041233323001) 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 47 ways as a sum of consecutive naturals, for example, 260209696 + ... + 260255966.

It is an arithmetic number, because the mean of its divisors is an integer number (376883357760).

Almost surely, 212041233323201 is an apocalyptic number.

It is an amenable number.

12041233323201 is a deficient number, since it is larger than the sum of its proper divisors (6049167849279).

12041233323201 is an equidigital number, since it uses as much as digits as its factorization.

12041233323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49428 (or 49416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12041233323201 its reverse (10232333214021), we get a palindrome (22273566537222).

The spelling of 12041233323201 in words is "twelve trillion, forty-one billion, two hundred thirty-three million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 243 389 1167 2753 3501 8259 10503 24777 31509 46271 74331 94527 138813 222993 416439 668979 1070917 1249317 3212751 3747951 9638253 11243853 17999419 28914759 53998257 86744277 127384063 161994771 260232831 382152189 485984313 1146456567 1457952939 3439369701 4373858817 10318109103 30954327309 49552400507 148657201521 445971604563 1337914813689 4013744441067 12041233323201