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212100001012220 = 225157239464960793
BaseRepresentation
bin110000001110011101100001…
…001101111001100111111100
31000210222120011202020221010012
4300032131201031321213330
5210300021300224342340
62031033221220202352
762450501515032566
oct6016354115714774
91023876152227105
10212100001012220
11616441181547a2
121b9564992393b8
139146c37753b39
143a539a2848336
15197c31b349565
hexc0e7613799fc

212100001012220 has 96 divisors (see below), whose sum is σ = 450226746144000. Its totient is φ = 83927462621184.

The previous prime is 212100001012169. The next prime is 212100001012223. The reversal of 212100001012220 is 22210100001212.

It is a junction number, because it is equal to n+sod(n) for n = 212100001012195 and 212100001012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100001012223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488858144 + ... + 3488918936.

It is an arithmetic number, because the mean of its divisors is an integer number (4689861939000).

Almost surely, 2212100001012220 is an apocalyptic number.

212100001012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100001012220 is an abundant number, since it is smaller than the sum of its proper divisors (238126745131780).

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

212100001012220 is a wasteful number, since it uses less digits than its factorization.

212100001012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65847 (or 65845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100001012220 its reverse (22210100001212), we get a palindrome (234310101013432).

The spelling of 212100001012220 in words is "two hundred twelve trillion, one hundred billion, one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 157 239 314 478 628 785 956 1195 1570 2390 3140 4649 4780 9298 18596 23245 37523 46490 60793 75046 92980 121586 150092 187615 243172 303965 375230 607930 729893 750460 1111111 1215860 1459786 2222222 2919572 3649465 4444444 5555555 7298930 9544501 11111110 14529527 14597860 19089002 22222220 29059054 38178004 47722505 58118108 72647635 95445010 145295270 174444427 190890020 282626657 290590540 348888854 565253314 697777708 872222135 1130506628 1413133285 1744444270 2281135739 2826266570 3488888540 4562271478 5652533140 9124542956 11405678695 22811357390 44372385149 45622714780 67547771023 88744770298 135095542046 177489540596 221861925745 270191084092 337738855115 443723851490 675477710230 887447702980 1350955420460 10605000050611 21210000101222 42420000202444 53025000253055 106050000506110 212100001012220