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12010012133100 = 22352301113295707
BaseRepresentation
bin1010111011000100110010…
…0000011100011011101100
31120112010221101200011101220
42232301030200130123230
53033233001101224400
641313153504503340
72346460203516642
oct256611440343354
946463841604356
1012010012133100
113910465826673
12141b75491ab50
13691701a677b7
142d74055bd192
1515c61bdc87a0
hexaec4c81c6ec

12010012133100 has 72 divisors (see below), whose sum is σ = 34760511726528. Its totient is φ = 3201606004800.

The previous prime is 12010012133071. The next prime is 12010012133113. The reversal of 12010012133100 is 133121001021.

It is a happy number.

It is a super-2 number, since 2×120100121331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010012133100.

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, 5744554 + ... + 7551153.

Almost surely, 212010012133100 is an apocalyptic number.

12010012133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010012133100 is an abundant number, since it is smaller than the sum of its proper divisors (22750499593428).

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

12010012133100 is a wasteful number, since it uses less digits than its factorization.

12010012133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298735 (or 13298728 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12010012133100 its reverse (133121001021), we get a palindrome (12143133134121).

The spelling of 12010012133100 in words is "twelve trillion, ten billion, twelve million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3011 6022 9033 12044 15055 18066 30110 36132 45165 60220 75275 90330 150550 180660 225825 301100 451650 903300 13295707 26591414 39887121 53182828 66478535 79774242 132957070 159548484 199435605 265914140 332392675 398871210 664785350 797742420 997178025 1329570700 1994356050 3988712100 40033373777 80066747554 120100121331 160133495108 200166868885 240200242662 400333737770 480400485324 600500606655 800667475540 1000834344425 1201001213310 2001668688850 2402002426620 3002503033275 4003337377700 6005006066550 12010012133100