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12011202222000 = 2435319105361423
BaseRepresentation
bin1010111011001001001101…
…1100010001011110110000
31120112021000100000221110120
42232302103130101132300
53033242420232101000
641313511540330240
72346531534225612
oct256622334213660
946467010027416
1012011202222000
113910a16583013
12141ba273a3980
1369186149ba07
142d74b968cdb2
1515c68b6076a0
hexaec937117b0

12011202222000 has 160 divisors (see below), whose sum is σ = 40762227717120. Its totient is φ = 3034408953600.

The previous prime is 12011202221987. The next prime is 12011202222011. The reversal of 12011202222000 is 22220211021.

12011202222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52566712 + ... + 52794711.

It is an arithmetic number, because the mean of its divisors is an integer number (254763923232).

Almost surely, 212011202222000 is an apocalyptic number.

12011202222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011202222000 is an abundant number, since it is smaller than the sum of its proper divisors (28751025495120).

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

12011202222000 is a wasteful number, since it uses less digits than its factorization.

12011202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105361468 (or 105361452 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12011202222000 its reverse (22220211021), we get a palindrome (12033422433021).

The spelling of 12011202222000 in words is "twelve trillion, eleven billion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 105361423 210722846 316084269 421445692 526807115 632168538 842891384 1053614230 1264337076 1580421345 1685782768 2001867037 2107228460 2528674152 2634035575 3160842690 4003734074 4214456920 5057348304 5268071150 6005601111 6321685380 7902106725 8007468148 8428913840 10009335185 10536142300 12011202222 12643370760 13170177875 15804213450 16014936296 20018670370 21072284600 24022404444 25286741520 26340355750 30028005555 31608426900 32029872592 39510533625 40037340740 42144569200 48044808888 50046675925 52680711500 60056011110 63216853800 79021067250 80074681480 96089617776 100093351850 105361423000 120112022220 126433707600 150140027775 158042134500 160149362960 200186703700 210722846000 240224044440 250233379625 300280055550 316084269000 400373407400 480448088880 500466759250 600560111100 632168538000 750700138875 800746814800 1000933518500 1201120222200 1501400277750 2001867037000 2402240444400 3002800555500 4003734074000 6005601111000 12011202222000