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12001101221100 = 22352303713172101
BaseRepresentation
bin1010111010100011100101…
…1000000000110011101100
31120111021221101012221011010
42232220321120000303230
53033111223403033400
641305121345025220
72346023322152445
oct256507130006354
946437841187133
1012001101221100
113907702853592
121419a88625210
136909118aa2c4
142d6bdbd582cc
1515c299948450
hexaea39600cec

12001101221100 has 72 divisors (see below), whose sum is σ = 34734622220368. Its totient is φ = 3199239648000.

The previous prime is 12001101221041. The next prime is 12001101221117. The reversal of 12001101221100 is 112210110021.

It is a super-2 number, since 2×120011012211002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5674951 + ... + 7497150.

Almost surely, 212001101221100 is an apocalyptic number.

12001101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001101221100 is an abundant number, since it is smaller than the sum of its proper divisors (22733520999268).

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

12001101221100 is a wasteful number, since it uses less digits than its factorization.

12001101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13175155 (or 13175148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001101221100 its reverse (112210110021), we get a palindrome (12113311331121).

The spelling of 12001101221100 in words is "twelve trillion, one billion, one hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3037 6074 9111 12148 15185 18222 30370 36444 45555 60740 75925 91110 151850 182220 227775 303700 455550 911100 13172101 26344202 39516303 52688404 65860505 79032606 131721010 158065212 197581515 263442020 329302525 395163030 658605050 790326060 987907575 1317210100 1975815150 3951630300 40003670737 80007341474 120011012211 160014682948 200018353685 240022024422 400036707370 480044048844 600055061055 800073414740 1000091768425 1200110122110 2000183536850 2400220244220 3000275305275 4000367073700 6000550610550 12001101221100