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12034442040201 = 34734960815947
BaseRepresentation
bin1010111100011111110010…
…1001001001001110001001
31120121110222221212000210000
42233013330221021032021
53034133014130241301
641332314002313213
72351313456352620
oct257077451111611
946543887760700
1012034442040201
11391a861881439
121424432358809
13693ac6147029
142d8681d666b7
1515d09b9d9786
hexaf1fca49389

12034442040201 has 40 divisors (see below), whose sum is σ = 20604443182400. Its totient is φ = 6857119543392.

The previous prime is 12034442040199. The next prime is 12034442040211. The reversal of 12034442040201 is 10204024443021.

12034442040201 is a `hidden beast` number, since 1 + 2 + 0 + 34 + 4 + 420 + 4 + 0 + 201 = 666.

It is not a de Polignac number, because 12034442040201 - 21 = 12034442040199 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 (12034442040211) 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 39 ways as a sum of consecutive naturals, for example, 30210091 + ... + 30605856.

It is an arithmetic number, because the mean of its divisors is an integer number (515111079560).

Almost surely, 212034442040201 is an apocalyptic number.

It is an amenable number.

12034442040201 is a deficient number, since it is larger than the sum of its proper divisors (8570001142199).

12034442040201 is an equidigital number, since it uses as much as digits as its factorization.

12034442040201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60816315 (or 60816306 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12034442040201 its reverse (10204024443021), we get a palindrome (22238466483222).

The spelling of 12034442040201 in words is "twelve trillion, thirty-four billion, four hundred forty-two million, forty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 349 567 1047 2443 3141 7329 9423 21987 28269 65961 197883 60815947 182447841 425711629 547343523 1277134887 1642030569 3831404661 4926091707 11494213983 21224765503 34482641949 63674296509 148573358521 191022889527 445720075563 573068668581 1337160226689 1719206005743 4011480680067 12034442040201