Search a number
-
+
12044122101200 = 2452717041252419
BaseRepresentation
bin1010111101000011110110…
…0111101001010111010000
31120122101222120121002002202
42233100331213221113100
53034312330224214300
641340554315502332
72352105400462040
oct257207547512720
946571876532082
1012044122101200
113923979a33552
1214262941579a8
136949a9774c87
142d8d1d805720
1515d46674aad5
hexaf43d9e95d0

12044122101200 has 120 divisors (see below), whose sum is σ = 33071789728320. Its totient is φ = 4129154611200.

The previous prime is 12044122101133. The next prime is 12044122101259. The reversal of 12044122101200 is 210122144021.

It is a super-2 number, since 2×120441221012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 47588591 + ... + 47841009.

It is an arithmetic number, because the mean of its divisors is an integer number (275598247736).

Almost surely, 212044122101200 is an apocalyptic number.

12044122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12044122101200 is an abundant number, since it is smaller than the sum of its proper divisors (21027667627120).

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

12044122101200 is a wasteful number, since it uses less digits than its factorization.

12044122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269485 (or 269474 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12044122101200 its reverse (210122144021), we get a palindrome (12254244245221).

The spelling of 12044122101200 in words is "twelve trillion, forty-four billion, one hundred twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 17041 34082 68164 85205 119287 136328 170410 238574 252419 272656 340820 426025 477148 504838 596435 681640 852050 954296 1009676 1192870 1262095 1363280 1704100 1766933 1908592 2019352 2385740 2524190 2982175 3408200 3533866 4038704 4771480 5048380 5964350 6310475 6816400 7067732 8834665 9542960 10096760 11928700 12620950 14135464 17669330 20193520 23857400 25241900 28270928 35338660 44173325 47714800 50483800 70677320 88346650 100967600 141354640 176693300 353386600 706773200 4301472179 8602944358 17205888716 21507360895 30110305253 34411777432 43014721790 60220610506 68823554864 86029443580 107536804475 120441221012 150551526265 172058887160 215073608950 240882442024 301103052530 344117774320 430147217900 481764884048 602206105060 752757631325 860294435800 1204412210120 1505515262650 1720588871600 2408824420240 3011030525300 6022061050600 12044122101200