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12001101222000 = 2435311181834867
BaseRepresentation
bin1010111010100011100101…
…1000000001000001110000
31120111021221101012222101110
42232220321120001001300
53033111223403101000
641305121345033320
72346023322155202
oct256507130010160
946437841188343
1012001101222000
113907702854230
121419a88625840
136909118aa837
142d6bdbd58772
1515c299948850
hexaea39601070

12001101222000 has 160 divisors (see below), whose sum is σ = 42208964239104. Its totient is φ = 2909357856000.

The previous prime is 12001101221969. The next prime is 12001101222007. The reversal of 12001101222000 is 22210110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001101222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90851434 + ... + 90983433.

Almost surely, 212001101222000 is an apocalyptic number.

12001101222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001101222000 is an abundant number, since it is smaller than the sum of its proper divisors (30207863017104).

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

12001101222000 is a wasteful number, since it uses less digits than its factorization.

12001101222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181834904 (or 181834888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001101222000 its reverse (22210110021), we get a palindrome (12023311332021).

The spelling of 12001101222000 in words is "twelve trillion, one billion, one hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 181834867 363669734 545504601 727339468 909174335 1091009202 1454678936 1818348670 2000183537 2182018404 2727523005 2909357872 3636697340 4000367074 4364036808 4545871675 5455046010 6000550611 7273394680 8000734148 8728073616 9091743350 10000917685 10910092020 12001101222 13637615025 14546789360 16001468296 18183486700 20001835370 21820184040 22729358375 24002202444 27275230050 30002753055 32002936592 36366973400 40003670740 43640368080 45458716750 48004404888 50004588425 54550460100 60005506110 68188075125 72733946800 80007341480 90917433500 96008809776 100009176850 109100920200 120011012220 136376150250 150013765275 160014682960 181834867000 200018353700 218201840400 240022024440 250022942125 272752300500 300027530550 363669734000 400036707400 480044048880 500045884250 545504601000 600055061100 750068826375 800073414800 1000091768500 1091009202000 1200110122200 1500137652750 2000183537000 2400220244400 3000275305500 4000367074000 6000550611000 12001101222000