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12042440431130 = 25171919319317667
BaseRepresentation
bin1010111100111101100101…
…1000100101011000011010
31120122020122101020101110002
42233033121120211120122
53034300404222244010
641340115403453002
72352015620511614
oct257173130453032
946566571211402
1012042440431130
11392319674a97a
121425aa4b27162
1369479c245925
142d8c00331db4
1515d3b8cb81a5
hexaf3d962561a

12042440431130 has 64 divisors (see below), whose sum is σ = 24284626796160. Its totient is φ = 4272758636544.

The previous prime is 12042440431127. The next prime is 12042440431141. The reversal of 12042440431130 is 3113404424021.

It is a junction number, because it is equal to n+sod(n) for n = 12042440431093 and 12042440431102.

It is an unprimeable number.

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, 9035444 + ... + 10282223.

It is an arithmetic number, because the mean of its divisors is an integer number (379447293690).

Almost surely, 212042440431130 is an apocalyptic number.

12042440431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12042440431130 is an abundant number, since it is smaller than the sum of its proper divisors (12242186365030).

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

12042440431130 is a wasteful number, since it uses less digits than its factorization.

12042440431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19317903.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12042440431130 its reverse (3113404424021), we get a palindrome (15155844855151).

The spelling of 12042440431130 in words is "twelve trillion, forty-two billion, four hundred forty million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 193 323 386 646 965 1615 1930 3230 3281 3667 6562 7334 16405 18335 32810 36670 62339 124678 311695 623390 19317667 38635334 96588335 193176670 328400339 367035673 656800678 734071346 1642001695 1835178365 3284003390 3670356730 3728309731 6239606441 7456619462 12479212882 18641548655 31198032205 37283097310 62396064410 63381265427 70837884889 126762530854 141675769778 316906327135 354189424445 633812654270 708378848890 1204244043113 2408488086226 6021220215565 12042440431130