Search a number
-
+
12109092120024 = 23317192367915669
BaseRepresentation
bin1011000000110101111000…
…1000100110010111011000
31120212121200110010222222020
42300031132020212113120
53041343410040320044
641430501244454440
72356565406514404
oct260153610462730
946777613128866
1012109092120024
113949489900289
1214369a654a420
1369ab61a944b3
142dc124394104
1515eeba481a19
hexb035e2265d8

12109092120024 has 128 divisors (see below), whose sum is σ = 35207483328000. Its totient is φ = 3442509379584.

The previous prime is 12109092119987. The next prime is 12109092120029. The reversal of 12109092120024 is 42002129090121.

It is a super-2 number, since 2×121090921200242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12109092120029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33779539 + ... + 34136130.

It is an arithmetic number, because the mean of its divisors is an integer number (275058463500).

Almost surely, 212109092120024 is an apocalyptic number.

It is an amenable number.

12109092120024 is an abundant number, since it is smaller than the sum of its proper divisors (23098391207976).

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

12109092120024 is a wasteful number, since it uses less digits than its factorization.

12109092120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67915737 (or 67915733 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 12109092120024 in words is "twelve trillion, one hundred nine billion, ninety-two million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 19 23 24 34 38 46 51 57 68 69 76 92 102 114 136 138 152 184 204 228 276 323 391 408 437 456 552 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2584 2622 3128 3496 3876 4692 5244 7429 7752 9384 10488 14858 22287 29716 44574 59432 89148 178296 67915669 135831338 203747007 271662676 407494014 543325352 814988028 1154566373 1290397711 1562060387 1629976056 2309132746 2580795422 3124120774 3463699119 3871193133 4618265492 4686181161 5161590844 6248241548 6927398238 7742386266 9236530984 9372362322 10323181688 12496483096 13854796476 15484772532 18744724644 21936761087 26555026579 27709592952 29679147353 30969545064 37489449288 43873522174 53110053158 59358294706 65810283261 79665079737 87747044348 89037442059 106220106316 118716589412 131620566522 159330159474 175494088696 178074884118 212440212632 237433178824 263241133044 318660318948 356149768236 504545505001 526482266088 637320637896 712299536472 1009091010002 1513636515003 2018182020004 3027273030006 4036364040008 6054546060012 12109092120024