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12042002122440 = 2335412586794621
BaseRepresentation
bin1010111100111011111101…
…0000100100011011001000
31120122012111211110222221220
42233032333100210123020
53034244010020404230
641340004105202040
72352002016114663
oct257167720443310
946565454428856
1012042002122440
113922a9129a094
1214259a2190320
1369472c4b0584
142d8b9c0386da
1515d390588d10
hexaf3bf4246c8

12042002122440 has 128 divisors (see below), whose sum is σ = 37008950267520. Its totient is φ = 3132724377600.

The previous prime is 12042002122307. The next prime is 12042002122463. The reversal of 12042002122440 is 4422120024021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12042002122440.

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, 127218330 + ... + 127312950.

It is an arithmetic number, because the mean of its divisors is an integer number (289132423965).

Almost surely, 212042002122440 is an apocalyptic number.

12042002122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042002122440 is an abundant number, since it is smaller than the sum of its proper divisors (24966948145080).

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

12042002122440 is a wasteful number, since it uses less digits than its factorization.

12042002122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120543 (or 120539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12042002122440 its reverse (4422120024021), we get a palindrome (16464122146461).

The spelling of 12042002122440 in words is "twelve trillion, forty-two billion, two million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 25867 51734 77601 94621 103468 129335 155202 189242 206936 258670 283863 310404 378484 388005 473105 517340 567726 620808 756968 776010 946210 1034680 1060547 1135452 1419315 1552020 1892420 2121094 2270904 2838630 3104040 3181641 3784840 3879461 4242188 5302735 5677260 6363282 7758922 8484376 10605470 11354520 11638383 12726564 15517844 15908205 19397305 21210940 23276766 25453128 31035688 31816410 38794610 42421880 46553532 58191915 63632820 77589220 93107064 116383830 127265640 155178440 232767660 465535320 2447561407 4895122814 7342684221 9790245628 12237807035 14685368442 19580491256 24475614070 29370736884 36713421105 48951228140 58741473768 73426842210 97902456280 100350017687 146853684420 200700035374 293707368840 301050053061 401400070748 501750088435 602100106122 802800141496 1003500176870 1204200212244 1505250265305 2007000353740 2408400424488 3010500530610 4014000707480 6021001061220 12042002122440