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12340141141125 = 3537395938901
BaseRepresentation
bin1011001110010010100110…
…1110101010110010000101
31121200201001122122101021010
42303210221232222302011
53104140102113004000
642124552123112433
72412355126011000
oct263445156526205
947621048571233
1012340141141125
113a28473a705a6
121473728372719
136b68938ba5b5
143093a1d4c537
15165ede695d50
hexb3929baac85

12340141141125 has 64 divisors (see below), whose sum is σ = 23946349939200. Its totient is φ = 5641207320000.

The previous prime is 12340141141099. The next prime is 12340141141157. The reversal of 12340141141125 is 52114114104321.

12340141141125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12340141141125 - 25 = 12340141141093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12340141141092 and 12340141141101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47840826 + ... + 48098075.

It is an arithmetic number, because the mean of its divisors is an integer number (374161717800).

Almost surely, 212340141141125 is an apocalyptic number.

12340141141125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12340141141125 is a deficient number, since it is larger than the sum of its proper divisors (11606208798075).

12340141141125 is an frugal number, since it uses more digits than its factorization.

12340141141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95938940 (or 95938916 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 12340141141125 its reverse (52114114104321), we get a palindrome (64454255245446).

The spelling of 12340141141125 in words is "twelve trillion, three hundred forty billion, one hundred forty-one million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 343 375 525 735 875 1029 1225 1715 2625 3675 5145 6125 8575 18375 25725 42875 128625 95938901 287816703 479694505 671572307 1439083515 2014716921 2398472525 3357861535 4701006149 7195417575 10073584605 11992362625 14103018447 16789307675 23505030745 32907043043 35977087875 50367923025 70515092235 83946538375 98721129129 117525153725 164535215215 251839615125 352575461175 493605645645 587625768625 822676076075 1762877305875 2468028228225 4113380380375 12340141141125