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12120042424 = 2371722035779
BaseRepresentation
bin10110100100110100…
…10010101110111000
31011021122222221121011
423102122102232320
5144310212324144
65322354323304
7606226442440
oct132232225670
934248887534
1012120042424
11515a4a2296
122422b89534
1311b1ca4b49
1482d949120
154ae083a34
hex2d2692bb8

12120042424 has 64 divisors (see below), whose sum is σ = 27516499200. Its totient is φ = 4885691904.

The previous prime is 12120042419. The next prime is 12120042439. The reversal of 12120042424 is 42424002121.

12120042424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12120042395 and 12120042404.

It is a congruent number.

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, 2094367 + ... + 2100145.

It is an arithmetic number, because the mean of its divisors is an integer number (429945300).

Almost surely, 212120042424 is an apocalyptic number.

12120042424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12120042424 is an abundant number, since it is smaller than the sum of its proper divisors (15396456776).

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

12120042424 is a wasteful number, since it uses less digits than its factorization.

12120042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12120042424 its reverse (42424002121), we get a palindrome (54544044545).

The spelling of 12120042424 in words is "twelve billion, one hundred twenty million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2203 4406 5779 8812 11558 15421 17624 23116 30842 37451 40453 46232 61684 74902 80906 98243 123368 149804 161812 196486 262157 299608 323624 392972 524314 687701 785944 1048628 1375402 2097256 2750804 5501608 12731137 25462274 50924548 89117959 101849096 178235918 216429329 356471836 432858658 712943672 865717316 1515005303 1731434632 3030010606 6060021212 12120042424