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12040688424 = 2333140939569
BaseRepresentation
bin10110011011010111…
…00101001100101000
31011002010200100101010
423031223211030220
5144124404012144
65310441423520
7604244106612
oct131553451450
934063610333
1012040688424
115119722476
12240049aba0
13119b70c80b
148231addb2
154a710b5b9
hex2cdae5328

12040688424 has 64 divisors (see below), whose sum is σ = 31149504000. Its totient is φ = 3874498560.

The previous prime is 12040688419. The next prime is 12040688441. The reversal of 12040688424 is 42488604021.

12040688424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 284512 + ... + 324080.

It is an arithmetic number, because the mean of its divisors is an integer number (486711000).

Almost surely, 212040688424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040688424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574752000).

12040688424 is an abundant number, since it is smaller than the sum of its proper divisors (19108815576).

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

12040688424 is a wasteful number, since it uses less digits than its factorization.

12040688424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40018 (or 40014 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 12040688424 in words is "twelve billion, forty million, six hundred eighty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 409 744 818 1227 1636 2454 3272 4908 9816 12679 25358 38037 39569 50716 76074 79138 101432 118707 152148 158276 237414 304296 316552 474828 949656 1226639 2453278 3679917 4906556 7359834 9813112 14719668 16183721 29439336 32367442 48551163 64734884 97102326 129469768 194204652 388409304 501695351 1003390702 1505086053 2006781404 3010172106 4013562808 6020344212 12040688424