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12012212101100 = 22527313776915619
BaseRepresentation
bin1010111011001100111110…
…1000101001111111101100
31120112100121201022010011012
42232303033220221333230
53033302002244213400
641314200053444352
72346565546113551
oct256631750517754
946470551263135
1012012212101100
113911394634142
1214200696406b8
13691992787703
142d757384ca28
1515c6ea0dad35
hexaeccfa29fec

12012212101100 has 144 divisors (see below), whose sum is σ = 26652766509600. Its totient is φ = 4698054328320.

The previous prime is 12012212101069. The next prime is 12012212101133. The reversal of 12012212101100 is 110121221021.

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, 769069091 + ... + 769084709.

Almost surely, 212012212101100 is an apocalyptic number.

12012212101100 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 12012212101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326383254800).

12012212101100 is an abundant number, since it is smaller than the sum of its proper divisors (14640554408500).

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

12012212101100 is a wasteful number, since it uses less digits than its factorization.

12012212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12012212101100 its reverse (110121221021), we get a palindrome (12122333322121).

The spelling of 12012212101100 in words is "twelve trillion, twelve billion, two hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 769 1370 1460 1538 1825 2740 3076 3425 3650 3845 6850 7300 7690 10001 13700 15380 15619 19225 20002 31238 38450 40004 50005 56137 62476 76900 78095 100010 105353 112274 156190 200020 210706 224548 250025 280685 312380 390475 421412 500050 526765 561370 780950 1000100 1053530 1122740 1140187 1403425 1561900 2107060 2139803 2280374 2633825 2806850 4279606 4560748 5267650 5613700 5700935 7690769 8559212 10535300 10699015 11401870 12011011 15381538 21398030 22803740 24022022 28504675 30763076 38453845 42796060 48044044 53495075 57009350 60055055 76907690 106990150 114018700 120110110 153815380 156205619 192269225 213980300 240220220 300275275 312411238 384538450 600550550 624822476 769076900 781028095 876803803 1201101100 1562056190 1645508507 1753607606 3124112380 3291017014 3507215212 3905140475 4384019015 6582034028 7810280950 8227542535 8768038030 15620561900 16455085070 17536076060 21920095075 32910170140 41137712675 43840190150 82275425350 87680380300 120122121011 164550850700 240244242022 480488484044 600610605055 1201221210110 2402442420220 3003053025275 6006106050550 12012212101100