Search a number
-
+
12025124424440 = 2357174311874801
BaseRepresentation
bin1010111011111101000101…
…0001010000101011111000
31120120120221121010002211222
42232333101101100223320
53034004423323040230
641324133233411212
72350533536053241
oct256772121205370
946516847102758
1012025124424440
113916910274846
121422671a09b08
13692c6c93bb1a
142d803a6b3cc8
1515cc039be6e5
hexaefd1450af8

12025124424440 has 128 divisors (see below), whose sum is σ = 27503409669120. Its totient is φ = 4730944512000.

The previous prime is 12025124424433. The next prime is 12025124424463. The reversal of 12025124424440 is 4442442152021.

It is a self number, because there is not a number n which added to its sum of digits gives 12025124424440.

It is a congruent number.

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, 2504710040 + ... + 2504714840.

It is an arithmetic number, because the mean of its divisors is an integer number (214870388040).

Almost surely, 212025124424440 is an apocalyptic number.

12025124424440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12025124424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751704834560).

12025124424440 is an abundant number, since it is smaller than the sum of its proper divisors (15478285244680).

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

12025124424440 is a wasteful number, since it uses less digits than its factorization.

12025124424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 12025124424440 its reverse (4442442152021), we get a palindrome (16467566576461).

The spelling of 12025124424440 in words is "twelve trillion, twenty-five billion, one hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 743 1187 1420 1486 2374 2840 2972 3715 4748 4801 5935 5944 7430 9496 9602 11870 14860 19204 23740 24005 29720 38408 47480 48010 52753 84277 96020 105506 168554 192040 211012 263765 337108 340871 421385 422024 527530 674216 681742 842770 881941 1055060 1363484 1685540 1704355 1763882 2110120 2726968 3371080 3408710 3527764 3567143 4409705 5698787 6817420 7055528 7134286 8819410 11397574 13634840 14268572 17638820 17835715 22795148 28493935 28537144 35277640 35671430 45590296 56987870 62617811 71342860 113975740 125235622 142685720 227951480 250471244 253267153 313089055 404613877 500942488 506534306 626178110 809227754 1013068612 1252356220 1266335765 1618455508 2023069385 2026137224 2504712440 2532671530 3236911016 4046138770 4234198741 5065343060 8092277540 8468397482 10130686120 16184555080 16936794964 21170993705 33873589928 42341987410 84683974820 169367949640 300628110611 601256221222 1202512442444 1503140553055 2405024884888 3006281106110 6012562212220 12025124424440