Search a number
-
+
12001110321100 = 22522113831485047
BaseRepresentation
bin1010111010100011100111…
…1010101110011111001100
31120111021222000100021000011
42232220321322232133030
53033111233220233400
641305122312043004
72346023462413165
oct256507172563714
946437860307004
1012001110321100
1139077079a954a
121419a8b693464
13690913745314
142d6bdd24676c
1515c29a6448ba
hexaea39eae7cc

12001110321100 has 72 divisors (see below), whose sum is σ = 26234168905728. Its totient is φ = 4765215604800.

The previous prime is 12001110321091. The next prime is 12001110321127. The reversal of 12001110321100 is 112301110021.

It is a happy number.

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, 7338777 + ... + 8823823.

It is an arithmetic number, because the mean of its divisors is an integer number (364363457024).

Almost surely, 212001110321100 is an apocalyptic number.

12001110321100 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 12001110321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117084452864).

12001110321100 is an abundant number, since it is smaller than the sum of its proper divisors (14233058584628).

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

12001110321100 is a wasteful number, since it uses less digits than its factorization.

12001110321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485655 (or 1485648 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12001110321100 its reverse (112301110021), we get a palindrome (12113411431121).

The spelling of 12001110321100 in words is "twelve trillion, one billion, one hundred ten million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 383 422 766 844 1055 1532 1915 2110 3830 4220 5275 7660 9575 10550 19150 21100 38300 80813 161626 323252 404065 808130 1485047 1616260 2020325 2970094 4040650 5940188 7425235 8081300 14850470 29700940 37126175 74252350 148504700 313344917 568773001 626689834 1137546002 1253379668 1566724585 2275092004 2843865005 3133449170 5687730010 6266898340 7833622925 11375460020 14219325025 15667245850 28438650050 31334491700 56877300100 120011103211 240022206422 480044412844 600055516055 1200111032110 2400222064220 3000277580275 6000555160550 12001110321100