Search a number
-
+
12035201123 = 114726388513
BaseRepresentation
bin10110011010101101…
…01001100001100011
31011001202100120012202
423031112221201203
5144122002413443
65310124043415
7604146343631
oct131526514143
934052316182
1012035201123
115116614810
1223ba69356b
13119a53acaa
14822582351
154a68c57b8
hex2cd5a9863

12035201123 has 16 divisors (see below), whose sum is σ = 13459792896. Its totient is φ = 10667466240.

The previous prime is 12035201117. The next prime is 12035201149. The reversal of 12035201123 is 32110253021.

12035201123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12035201123 - 228 = 11766765667 is a prime.

It is a super-2 number, since 2×120352011232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12035201095 and 12035201104.

It is not an unprimeable number, because it can be changed into a prime (12035221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91715 + ... + 180227.

It is an arithmetic number, because the mean of its divisors is an integer number (841237056).

Almost surely, 212035201123 is an apocalyptic number.

12035201123 is a deficient number, since it is larger than the sum of its proper divisors (1424591773).

12035201123 is a wasteful number, since it uses less digits than its factorization.

12035201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88834.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12035201123 its reverse (32110253021), we get a palindrome (44145454144).

The spelling of 12035201123 in words is "twelve billion, thirty-five million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 11 47 263 517 2893 12361 88513 135971 973643 4160111 23278919 45761221 256068109 1094109193 12035201123