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12444125412 = 2237182317747
BaseRepresentation
bin10111001011011101…
…00100100011100100
31012010020211001212210
423211232210203210
5200441144003122
65414452443420
7620243215005
oct134556444344
935106731783
1012444125412
115306425674
1224b3619570
131234185624
148609cb1ac
154cc74d40c
hex2e5ba48e4

12444125412 has 48 divisors (see below), whose sum is σ = 29482693632. Its totient is φ = 4084419360.

The previous prime is 12444125401. The next prime is 12444125429. The reversal of 12444125412 is 21452144421.

12444125412 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 12444125412.

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, 692323 + ... + 710069.

It is an arithmetic number, because the mean of its divisors is an integer number (614222784).

Almost surely, 212444125412 is an apocalyptic number.

12444125412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12444125412 is an abundant number, since it is smaller than the sum of its proper divisors (17038568220).

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

12444125412 is a wasteful number, since it uses less digits than its factorization.

12444125412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18648 (or 18646 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

Adding to 12444125412 its reverse (21452144421), we get a palindrome (33896269833).

The spelling of 12444125412 in words is "twelve billion, four hundred forty-four million, one hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 823 852 1646 2469 3292 4938 9876 17747 35494 53241 58433 70988 106482 116866 175299 212964 233732 350598 701196 1260037 2520074 3780111 5040148 7560222 14605781 15120444 29211562 43817343 58423124 87634686 175269372 1037010451 2074020902 3111031353 4148041804 6222062706 12444125412