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121020012009 = 33135357111393
BaseRepresentation
bin111000010110101011…
…0101101010111101001
3102120101002111120221000
41300231112231113221
53440322110341014
6131332410505213
711512663062231
oct1605526552751
9376332446830
10121020012009
1147362707256
121b555435209
13b548610280
145c009c2cc1
1532347db509
hex1c2d5ad5e9

121020012009 has 64 divisors (see below), whose sum is σ = 197085208320. Its totient is φ = 72934318080.

The previous prime is 121020011993. The next prime is 121020012013. The reversal of 121020012009 is 900210020121.

It is not a de Polignac number, because 121020012009 - 24 = 121020011993 is a prime.

It is a super-3 number, since 3×1210200120093 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121020011982 and 121020012000.

It is not an unprimeable number, because it can be changed into a prime (121020012049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10616617 + ... + 10628009.

It is an arithmetic number, because the mean of its divisors is an integer number (3079456380).

Almost surely, 2121020012009 is an apocalyptic number.

It is an amenable number.

121020012009 is a deficient number, since it is larger than the sum of its proper divisors (76065196311).

121020012009 is a wasteful number, since it uses less digits than its factorization.

121020012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 121020012009 in words is "one hundred twenty-one billion, twenty million, twelve thousand, nine".

Divisors: 1 3 9 13 27 39 53 117 159 351 477 571 689 1431 1713 2067 5139 6201 7423 11393 15417 18603 22269 30263 34179 66807 90789 102537 148109 200421 272367 307611 393419 444327 603829 817101 1180257 1332981 1811487 3540771 3998943 5434461 6505403 7849777 10622313 16303383 19516209 23549331 58548627 70647993 84570239 175645881 211943979 253710717 344786359 761132151 1034359077 2283396453 3103077231 4482222667 9309231693 13446668001 40340004003 121020012009