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12012021212100 = 22352713440000777
BaseRepresentation
bin1010111011001100010001…
…0000011110001111000100
31120112100010102002221200020
42232303010100132033010
53033301104412241400
641314125114215140
72346561040434060
oct256630420361704
946470112087606
1012012021212100
1139112a6904438
1214200157244b0
13691962070440
142d755635caa0
1515c6d84812a0
hexaecc441e3c4

12012021212100 has 144 divisors (see below), whose sum is σ = 42775115634048. Its totient is φ = 2534404469760.

The previous prime is 12012021212057. The next prime is 12012021212123. The reversal of 12012021212100 is 121212021021.

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 12012021212100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219973089 + ... + 220027688.

Almost surely, 212012021212100 is an apocalyptic number.

12012021212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012021212100 is an abundant number, since it is smaller than the sum of its proper divisors (30763094421948).

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

12012021212100 is a wasteful number, since it uses less digits than its factorization.

12012021212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440000814 (or 440000807 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12012021212100 its reverse (121212021021), we get a palindrome (12133233233121).

The spelling of 12012021212100 in words is "twelve trillion, twelve billion, twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 440000777 880001554 1320002331 1760003108 2200003885 2640004662 3080005439 4400007770 5280009324 5720010101 6160010878 6600011655 8800015540 9240016317 11000019425 11440020202 12320021756 13200023310 15400027195 17160030303 18480032634 22000038850 22880040404 26400046620 28600050505 30800054390 33000058275 34320060606 36960065268 40040070707 44000077700 46200081585 57200101010 61600108780 66000116550 68640121212 77000135975 80080141414 85800151515 92400163170 114400202020 120120212121 132000233100 143000252525 154000271950 160160282828 171600303030 184800326340 200200353535 231000407925 240240424242 286000505050 308000543900 343200606060 400400707070 429000757575 462000815850 480480848484 572001010100 600601060605 800801414140 858001515150 924001631700 1001001767675 1201202121210 1716003030300 2002003535350 2402404242420 3003005303025 4004007070700 6006010606050 12012021212100