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12052270013760 = 26345464979553
BaseRepresentation
bin1010111101100010001101…
…0001011101110101000000
31120200012000102022220220000
42233120203101131311000
53034431022110420020
641344423021520000
72352514325546124
oct257304321356500
946605012286800
1012052270013760
113927380247889
121427988a13000
136956a7835b02
142d94939b3584
1515d791c12090
hexaf62345dd40

12052270013760 has 140 divisors (see below), whose sum is σ = 42872044837908. Its totient is φ = 3213938663424.

The previous prime is 12052270013731. The next prime is 12052270013809. The reversal of 12052270013760 is 6731007225021.

12052270013760 is a `hidden beast` number, since 1 + 2 + 0 + 522 + 70 + 0 + 1 + 3 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6786566850816 + 5265703162944 = 2605104^2 + 2294712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232463857 + ... + 232515696.

Almost surely, 212052270013760 is an apocalyptic number.

12052270013760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12052270013760 is an abundant number, since it is smaller than the sum of its proper divisors (30819774824148).

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

12052270013760 is an equidigital number, since it uses as much as digits as its factorization.

12052270013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464979582 (or 464979563 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 12052270013760 its reverse (6731007225021), we get a palindrome (18783277238781).

The spelling of 12052270013760 in words is "twelve trillion, fifty-two billion, two hundred seventy million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 464979553 929959106 1394938659 1859918212 2324897765 2789877318 3719836424 4184815977 4649795530 5579754636 6974693295 7439672848 8369631954 9299591060 11159509272 12554447931 13949386590 14879345696 16739263908 18599182120 20924079885 22319018544 25108895862 27898773180 29758691392 33478527816 37198364240 37663343793 41848159770 44638037088 50217791724 55797546360 62772239655 66957055632 74396728480 75326687586 83696319540 89276074176 100435583448 111595092720 125544479310 133914111264 148793456960 150653375172 167392639080 188316718965 200871166896 223190185440 251088958620 267828222528 301306750344 334785278160 376633437930 401742333792 446380370880 502177917240 602613500688 669570556320 753266875860 803484667584 1004355834480 1205227001376 1339141112640 1506533751720 2008711668960 2410454002752 3013067503440 4017423337920 6026135006880 12052270013760