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121085685 = 355723619
BaseRepresentation
bin1110011011110…
…01111011110101
322102211210100000
413031321323311
5221444220220
620003141513
73000132330
oct715717365
9272753300
10121085685
1162393516
1234674899
131c117146
141211d617
15a96c390
hex7379ef5

121085685 has 96 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 52861248.

The previous prime is 121085621. The next prime is 121085687. The reversal of 121085685 is 586580121.

It is not a de Polignac number, because 121085685 - 26 = 121085621 is a prime.

It is a super-2 number, since 2×1210856852 = 29323486223838450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121085687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195306 + ... + 195924.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2121085685 is an apocalyptic number.

121085685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121085685 is an abundant number, since it is smaller than the sum of its proper divisors (138897675).

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

121085685 is an equidigital number, since it uses as much as digits as its factorization.

121085685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 121085685 is about 11003.8940834597. The cubic root of 121085685 is about 494.7254676042.

The spelling of 121085685 in words is "one hundred twenty-one million, eighty-five thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 243 315 345 405 483 567 619 621 805 945 1035 1215 1449 1701 1857 1863 2415 2835 3095 3105 4333 4347 5571 5589 7245 8505 9285 9315 12999 13041 14237 16713 21665 21735 27855 27945 38997 39123 42711 50139 64995 65205 71185 83565 99659 116991 128133 150417 194985 195615 213555 250695 298977 350973 384399 498295 584955 640665 752085 896931 1052919 1153197 1494885 1754865 1921995 2690793 3459591 4484655 5264595 5765985 8072379 13453965 17297955 24217137 40361895 121085685