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121202201210985 = 32517173915804913
BaseRepresentation
bin11011100011101110010110…
…001001100011000001101001
3120220010211001210110020201200
4123203232112021203001221
5111341234102002222420
61105435304513034413
734346366350652016
oct3343562611430151
9526124053406650
10121202201210985
1135689623937734
121171596bb55a09
13528241aa7b28b
1421d0309a6c70d
15e02b326ebb90
hex6e3b96263069

121202201210985 has 48 divisors (see below), whose sum is σ = 223727477270544. Its totient is φ = 60487082827776.

The previous prime is 121202201210983. The next prime is 121202201211001. The reversal of 121202201210985 is 589012102202121.

121202201210985 is a `hidden beast` number, since 1 + 212 + 0 + 220 + 1 + 210 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 119929230864 + 121082271980121 = 346308^2 + 11003739^2 .

It is not a de Polignac number, because 121202201210985 - 21 = 121202201210983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121202201210983) 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, 457770112 + ... + 458034801.

It is an arithmetic number, because the mean of its divisors is an integer number (4660989109803).

Almost surely, 2121202201210985 is an apocalyptic number.

121202201210985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121202201210985 is a deficient number, since it is larger than the sum of its proper divisors (102525276059559).

121202201210985 is a wasteful number, since it uses less digits than its factorization.

121202201210985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915805114 (or 915805111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 121202201210985 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred one million, two hundred ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 173 255 519 765 865 1557 2595 2941 7785 8823 14705 26469 44115 132345 915804913 2747414739 4579024565 8242244217 13737073695 15568683521 41211221085 46706050563 77843417605 140118151689 158434249949 233530252815 475302749847 700590758445 792171249745 1425908249541 2376513749235 2693382249133 7129541247705 8080146747399 13466911245665 24240440242197 40400733736995 121202201210985