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12412334420 = 2254320117177
BaseRepresentation
bin10111000111101010…
…10011000101010100
31012001000222220211122
423203311103011110
5200410024200140
65411355223112
7616406046623
oct134365230524
935030886748
1012412334420
11529a491622
1224a4a47a98
13122a7043a5
1485a6b36ba
154c9a6dab5
hex2e3d53154

12412334420 has 48 divisors (see below), whose sum is σ = 26689067328. Its totient is φ = 4846383360.

The previous prime is 12412334401. The next prime is 12412334443. The reversal of 12412334420 is 2443321421.

12412334420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12412334420.

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, 1725872 + ... + 1733048.

It is an arithmetic number, because the mean of its divisors is an integer number (556022236).

Almost surely, 212412334420 is an apocalyptic number.

12412334420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412334420 is an abundant number, since it is smaller than the sum of its proper divisors (14276732908).

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

12412334420 is a wasteful number, since it uses less digits than its factorization.

12412334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12412334420 its reverse (2443321421), we get a palindrome (14855655841).

The spelling of 12412334420 in words is "twelve billion, four hundred twelve million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 2011 4022 7177 8044 10055 14354 20110 28708 35885 40220 71770 86473 143540 172946 308611 345892 432365 617222 864730 1234444 1543055 1729460 3086110 6172220 14432947 28865894 57731788 72164735 144329470 288658940 620616721 1241233442 2482466884 3103083605 6206167210 12412334420