Search a number
-
+
12042665212105 = 5113730719276129
BaseRepresentation
bin1010111100111110011011…
…0010000011100011001001
31120122021020001012102222101
42233033212302003203021
53034301334243241410
641340153553353401
72352024320230003
oct257174662034311
946567201172871
1012042665212105
1139232a1619180
121425b48268861
13694806998518
142d8c22125373
1515d3cd8b9d3a
hexaf3e6c838c9

12042665212105 has 32 divisors (see below), whose sum is σ = 16243763437440. Its totient is φ = 8493833041920.

The previous prime is 12042665212103. The next prime is 12042665212133. The reversal of 12042665212105 is 50121256624021.

It is not a de Polignac number, because 12042665212105 - 21 = 12042665212103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (12042665212103) 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 31 ways as a sum of consecutive naturals, for example, 9013320 + ... + 10262809.

It is an arithmetic number, because the mean of its divisors is an integer number (507617607420).

Almost surely, 212042665212105 is an apocalyptic number.

It is an amenable number.

12042665212105 is a deficient number, since it is larger than the sum of its proper divisors (4201098225335).

12042665212105 is a wasteful number, since it uses less digits than its factorization.

12042665212105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276489.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 12042665212105 in words is "twelve trillion, forty-two billion, six hundred sixty-five million, two hundred twelve thousand, one hundred five".

Divisors: 1 5 11 37 55 185 307 407 1535 2035 3377 11359 16885 56795 124949 624745 19276129 96380645 212037419 713216773 1060187095 3566083865 5917771603 7845384503 29588858015 39226922515 65095487633 218957549311 325477438165 1094787746555 2408533042421 12042665212105