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12042334404 = 223217103191039
BaseRepresentation
bin10110011011100011…
…10111000011000100
31011002020202222020100
423031301313003010
5144130314200104
65310541004100
7604264103442
oct131561670304
934066688210
1012042334404
11511a647091
122400b53630
13119bb67a79
148234bbb92
154a7334139
hex2cdc770c4

12042334404 has 72 divisors (see below), whose sum is σ = 32544046080. Its totient is φ = 3741288192.

The previous prime is 12042334399. The next prime is 12042334453. The reversal of 12042334404 is 40443324021.

It is a happy number.

12042334404 is a `hidden beast` number, since 1 + 20 + 4 + 233 + 4 + 404 = 666.

12042334404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32484 + ... + 158555.

It is an arithmetic number, because the mean of its divisors is an integer number (452000640).

Almost surely, 212042334404 is an apocalyptic number.

It is an amenable number.

12042334404 is an abundant number, since it is smaller than the sum of its proper divisors (20501711676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12042334404 is a wasteful number, since it uses less digits than its factorization.

12042334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191169 (or 191164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12042334404 its reverse (40443324021), we get a palindrome (52485658425).

The spelling of 12042334404 in words is "twelve billion, forty-two million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3708 5253 7004 10506 15759 21012 31518 63036 191039 382078 573117 764156 1146234 1719351 2292468 3247663 3438702 6495326 6877404 9742989 12990652 19485978 19677017 29228967 38971956 39354034 58457934 59031051 78708068 116915868 118062102 177093153 236124204 334509289 354186306 669018578 708372612 1003527867 1338037156 2007055734 3010583601 4014111468 6021167202 12042334404