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12012200100 = 22335219123293
BaseRepresentation
bin10110010111111101…
…11010000010100100
31011000011001222202000
423023332322002210
5144100110400400
65303543045300
7603450005355
oct131376720244
934004058660
1012012200100
1151046347aa
1223b2a40830
131195846914
1481d4b5d2c
154a4880600
hex2cbfba0a4

12012200100 has 144 divisors (see below), whose sum is σ = 38820848640. Its totient is φ = 3186345600.

The previous prime is 12012200099. The next prime is 12012200117. The reversal of 12012200100 is 100221021.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 504054 + ... + 527346.

Almost surely, 212012200100 is an apocalyptic number.

12012200100 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 12012200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410424320).

12012200100 is an abundant number, since it is smaller than the sum of its proper divisors (26808648540).

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

12012200100 is a wasteful number, since it uses less digits than its factorization.

12012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12012200100 its reverse (100221021), we get a palindrome (12112421121).

The spelling of 12012200100 in words is "twelve billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 191 225 270 300 382 450 540 573 675 764 900 955 1146 1350 1719 1910 2292 2700 2865 3438 3820 4775 5157 5730 6876 8595 9550 10314 11460 14325 17190 19100 20628 23293 25785 28650 34380 42975 46586 51570 57300 69879 85950 93172 103140 116465 128925 139758 171900 209637 232930 257850 279516 349395 419274 465860 515700 582325 628911 698790 838548 1048185 1164650 1257822 1397580 1746975 2096370 2329300 2515644 3144555 3493950 4192740 4448963 5240925 6289110 6987900 8897926 10481850 12578220 13346889 15722775 17795852 20963700 22244815 26693778 31445550 40040667 44489630 53387556 62891100 66734445 80081334 88979260 111224075 120122001 133468890 160162668 200203335 222448150 240244002 266937780 333672225 400406670 444896300 480488004 600610005 667344450 800813340 1001016675 1201220010 1334688900 2002033350 2402440020 3003050025 4004066700 6006100050 12012200100