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200112120212121 = 321329576971022201
BaseRepresentation
bin101101100000000000111011…
…110101110010101010011001
3222020112112100201120222012100
4231200000323311302222121
5202212114110233241441
61545334123334434013
760102423613353435
oct5540007365625231
9866475321528170
10200112120212121
1158842089a47187
121a53b0a0202909
138787651b02770
14375b69a6359c5
151820597392cb6
hexb6003bd72a99

200112120212121 has 48 divisors (see below), whose sum is σ = 322025400038160. Its totient is φ = 118897332019200.

The previous prime is 200112120211999. The next prime is 200112120212131. The reversal of 200112120212121 is 121212021211002.

200112120212121 is a `hidden beast` number, since 200 + 1 + 12 + 120 + 212 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24085165936896 + 176026954275225 = 4907664^2 + 13267515^2 .

It is not a de Polignac number, because 200112120212121 - 29 = 200112120211609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200112120212094 and 200112120212103.

It is not an unprimeable number, because it can be changed into a prime (200112120212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195254821 + ... + 196277021.

It is an arithmetic number, because the mean of its divisors is an integer number (6708862500795).

Almost surely, 2200112120212121 is an apocalyptic number.

It is an amenable number.

200112120212121 is a deficient number, since it is larger than the sum of its proper divisors (121913279826039).

200112120212121 is a wasteful number, since it uses less digits than its factorization.

200112120212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079946 (or 1079943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200112120212121 its reverse (121212021211002), we get a palindrome (321324141423123).

The spelling of 200112120212121 in words is "two hundred trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 57697 173091 519273 750061 1022201 1673213 2250183 3066603 5019639 6750549 9199809 13288613 15058917 21751769 29643829 39865839 65255307 88931487 119597517 195765921 266794461 385369777 1156109331 3468327993 58977931097 176933793291 530801379873 766713104261 1710360001813 2300139312783 5131080005439 6900417938349 15393240016317 22234680023569 66704040070707 200112120212121