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121916122191 = 361031162209
BaseRepresentation
bin111000110001011000…
…1000110010001001111
3102122200112200201000000
41301202301012101033
53444141011402231
6132001341335343
711544123640323
oct1614261062117
9378615621000
10121916122191
1147782522086
121b765567553
13b65c174296
145c87a09983
1532882ea6e6
hex1c62c4644f

121916122191 has 28 divisors (see below), whose sum is σ = 182968986960. Its totient is φ = 81198080640.

The previous prime is 121916122189. The next prime is 121916122199. The reversal of 121916122191 is 191221619121.

121916122191 is a `hidden beast` number, since 1 + 2 + 19 + 1 + 612 + 21 + 9 + 1 = 666.

It is not a de Polignac number, because 121916122191 - 21 = 121916122189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121916122199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 670495 + ... + 832703.

Almost surely, 2121916122191 is an apocalyptic number.

121916122191 is a deficient number, since it is larger than the sum of its proper divisors (61052864769).

121916122191 is an equidigital number, since it uses as much as digits as its factorization.

121916122191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163258 (or 163243 counting only the distinct ones).

The product of its digits is 3888, while the sum is 36.

The spelling of 121916122191 in words is "one hundred twenty-one billion, nine hundred sixteen million, one hundred twenty-two thousand, one hundred ninety-one".

Divisors: 1 3 9 27 81 243 729 1031 3093 9279 27837 83511 162209 250533 486627 751599 1459881 4379643 13138929 39416787 118250361 167237479 501712437 1505137311 4515411933 13546235799 40638707397 121916122191