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12000110111000 = 23531110211068481
BaseRepresentation
bin1010111010011111111001…
…0011001110100100011000
31120111012101022021022200122
42232213332103032210120
53033102211142023000
641304435142052412
72345656625645564
oct256477623164430
946435338238618
1012000110111000
113907244351930
12141985071a108
136907b446361b
142d6b464826a4
1515c23c921085
hexae9fe4ce918

12000110111000 has 128 divisors (see below), whose sum is σ = 30663040000320. Its totient is φ = 4359398400000.

The previous prime is 12000110110997. The next prime is 12000110111029. The reversal of 12000110111000 is 11101100021.

It is a happy number.

It is a super-2 number, since 2×120001101110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 10696760 + ... + 11765240.

Almost surely, 212000110111000 is an apocalyptic number.

12000110111000 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 12000110111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331520000160).

12000110111000 is an abundant number, since it is smaller than the sum of its proper divisors (18662929889320).

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

12000110111000 is a wasteful number, since it uses less digits than its factorization.

12000110111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069534 (or 1069520 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12000110111000 its reverse (11101100021), we get a palindrome (12011211211021).

The spelling of 12000110111000 in words is "twelve trillion, one hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1021 1100 1375 2042 2200 2750 4084 5105 5500 8168 10210 11000 11231 20420 22462 25525 40840 44924 51050 56155 89848 102100 112310 127625 204200 224620 255250 280775 449240 510500 561550 1021000 1068481 1123100 1403875 2136962 2246200 2807750 4273924 5342405 5615500 8547848 10684810 11231000 11753291 21369620 23506582 26712025 42739240 47013164 53424050 58766455 94026328 106848100 117532910 133560125 213696200 235065820 267120250 293832275 470131640 534240500 587664550 1068481000 1090919101 1175329100 1469161375 2181838202 2350658200 2938322750 4363676404 5454595505 5876645500 8727352808 10909191010 11753291000 12000110111 21818382020 24000220222 27272977525 43636764040 48000440444 54545955050 60000550555 96000880888 109091910100 120001101110 136364887625 218183820200 240002202220 272729775250 300002752775 480004404440 545459550500 600005505550 1090919101000 1200011011100 1500013763875 2400022022200 3000027527750 6000055055500 12000110111000