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12102044140032 = 293711102323831
BaseRepresentation
bin1011000000011011101000…
…0010101100001000000000
31120211221111021010112000020
42300012322002230020000
53041234441244440112
641423334034053440
72356225635622650
oct260067202541000
946757437115006
1012102044140032
1139464a2465630
12143555a11a280
1369a2aa85c732
142dba56308360
1515ec0683b48c
hexb01ba0ac200

12102044140032 has 160 divisors (see below), whose sum is σ = 40196075572224. Its totient is φ = 3143388057600.

The previous prime is 12102044139989. The next prime is 12102044140051. The reversal of 12102044140032 is 23004144020121.

It is a super-2 number, since 2×121020441400322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12102044139984 and 12102044140011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51043644 + ... + 51280187.

Almost surely, 212102044140032 is an apocalyptic number.

12102044140032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102044140032 is an abundant number, since it is smaller than the sum of its proper divisors (28094031432192).

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

12102044140032 is a wasteful number, since it uses less digits than its factorization.

12102044140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102323870 (or 102323854 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12102044140032 its reverse (23004144020121), we get a palindrome (35106188160153).

The spelling of 12102044140032 in words is "twelve trillion, one hundred two billion, forty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 14784 16896 19712 29568 39424 59136 118272 102323831 204647662 306971493 409295324 613942986 716266817 818590648 1125562141 1227885972 1432533634 1637181296 2148800451 2251124282 2455771944 2865067268 3274362592 3376686423 4297600902 4502248564 4911543888 5730134536 6548725184 6753372846 7878934987 8595201804 9004497128 9823087776 11460269072 13097450368 13506745692 15757869974 17190403608 18008994256 19646175552 22920538144 23636804961 26194900736 27013491384 31515739948 34380807216 36017988512 39292351104 45841076288 47273609922 52389801472 54026982768 63031479896 68761614432 72035977024 78584702208 91682152576 94547219844 108053965536 126062959792 137523228864 144071954048 157169404416 183364305152 189094439688 216107931072 252125919584 275046457728 288143908096 366728610304 378188879376 432215862144 504251839168 550092915456 576287816192 756377758752 864431724288 1008503678336 1100185830912 1512755517504 1728863448576 2017007356672 3025511035008 4034014713344 6051022070016 12102044140032