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121200211212 = 223295913145061
BaseRepresentation
bin111000011100000011…
…0000111010100001100
3102120211122120122202120
41300320012013110030
53441204223224322
6131402325052540
711520311540313
oct1607006072414
9376748518676
10121200211212
11474453a5613
121b5a5857150
13b576a53a12
145c1a8cd27a
153245533a5c
hex1c3818750c

121200211212 has 96 divisors (see below), whose sum is σ = 299788473600. Its totient is φ = 38052268800.

The previous prime is 121200211211. The next prime is 121200211219. The reversal of 121200211212 is 212112002121.

It is a junction number, because it is equal to n+sod(n) for n = 121200211191 and 121200211200.

It is not an unprimeable number, because it can be changed into a prime (121200211211) 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, 2667162 + ... + 2712222.

It is an arithmetic number, because the mean of its divisors is an integer number (3122796600).

Almost surely, 2121200211212 is an apocalyptic number.

121200211212 is a gapful number since it is divisible by the number (12) 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 121200211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149894236800).

121200211212 is an abundant number, since it is smaller than the sum of its proper divisors (178588262388).

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

121200211212 is a wasteful number, since it uses less digits than its factorization.

121200211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45287 (or 45285 counting only the distinct ones).

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

Adding to 121200211212 its reverse (212112002121), we get a palindrome (333312213333).

The spelling of 121200211212 in words is "one hundred twenty-one billion, two hundred million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 131 174 177 236 262 348 354 393 524 708 786 1572 1711 3422 3799 5133 6844 7598 7729 10266 11397 15196 15458 20532 22794 23187 30916 45061 45588 46374 90122 92748 135183 180244 224141 270366 448282 540732 672423 896564 1306769 1344846 2613538 2658599 2689692 3920307 5227076 5317198 5902991 7840614 7975797 10634396 11805982 15681228 15951594 17708973 23611964 31903188 35417946 70835892 77099371 154198742 171186739 231298113 308397484 342373478 348276469 462596226 513560217 684746956 696552938 925192452 1027120434 1044829407 1393105876 2054240868 2089658814 4179317628 10100017601 20200035202 30300052803 40400070404 60600105606 121200211212