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12756013111000 = 2353411163267517
BaseRepresentation
bin1011100110011111110110…
…1000010101011011011000
31200011110111111010100202001
42321213331220111123120
53132443303324023000
643044010450450344
72454406616304445
oct271477550253330
950143444110661
1012756013111000
114078881941875
12152024ab939b4
13716b6b605b93
143215740769cc
15171c2e6e546a
hexb99fda156d8

12756013111000 has 128 divisors (see below), whose sum is σ = 30603502762560. Its totient is φ = 4973657472000.

The previous prime is 12756013110989. The next prime is 12756013111081. The reversal of 12756013111000 is 11131065721.

It is a self number, because there is not a number n which added to its sum of digits gives 12756013111000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47549242 + ... + 47816758.

Almost surely, 212756013111000 is an apocalyptic number.

12756013111000 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 12756013111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301751381280).

12756013111000 is an abundant number, since it is smaller than the sum of its proper divisors (17847489651560).

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

12756013111000 is a wasteful number, since it uses less digits than its factorization.

12756013111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268742 (or 268728 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 12756013111000 its reverse (11131065721), we get a palindrome (12767144176721).

The spelling of 12756013111000 in words is "twelve trillion, seven hundred fifty-six billion, thirteen million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1163 1640 2050 2326 4100 4652 5125 5815 8200 9304 10250 11630 20500 23260 29075 41000 46520 47683 58150 95366 116300 145375 190732 232600 238415 267517 290750 381464 476830 535034 581500 953660 1070068 1163000 1192075 1337585 1907320 2140136 2384150 2675170 4768300 5350340 5960375 6687925 9536600 10700680 10968197 11920750 13375850 21936394 23841500 26751700 33439625 43872788 47683000 53503400 54840985 66879250 87745576 109681970 133758500 219363940 267517000 274204925 311122271 438727880 548409850 622244542 1096819700 1244489084 1371024625 1555611355 2193639400 2488978168 2742049250 3111222710 5484098500 6222445420 7778056775 10968197000 12444890840 12756013111 15556113550 25512026222 31112227100 38890283875 51024052444 62224454200 63780065555 77780567750 102048104888 127560131110 155561135500 255120262220 311122271000 318900327775 510240524440 637800655550 1275601311100 1594501638875 2551202622200 3189003277750 6378006555500 12756013111000