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12412100144 = 2423127265579
BaseRepresentation
bin10111000111101000…
…11001111000110000
31012001000120000110202
423203310121320300
5200404444201034
65411350214332
7616404052613
oct134364317060
935030500422
1012412100144
11529a341604
1224a49543a8
13122a651872
1485a65217a
154c9a2447e
hex2e3d19e30

12412100144 has 40 divisors (see below), whose sum is σ = 25291714560. Its totient is φ = 5889457728.

The previous prime is 12412100143. The next prime is 12412100147. The reversal of 12412100144 is 44100121421.

12412100144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12412100143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86054 + ... + 179525.

It is an arithmetic number, because the mean of its divisors is an integer number (632292864).

Almost surely, 212412100144 is an apocalyptic number.

It is an amenable number.

12412100144 is an abundant number, since it is smaller than the sum of its proper divisors (12879614416).

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

12412100144 is a wasteful number, since it uses less digits than its factorization.

12412100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265737 (or 265731 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12412100144 its reverse (44100121421), we get a palindrome (56512221565).

The spelling of 12412100144 in words is "twelve billion, four hundred twelve million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 368 508 1016 2032 2921 5842 11684 23368 46736 265579 531158 1062316 2124632 4249264 6108317 12216634 24433268 33728533 48866536 67457066 97733072 134914132 269828264 539656528 775756259 1551512518 3103025036 6206050072 12412100144