Search a number
-
+
12123443120 = 245712134409
BaseRepresentation
bin10110100101001110…
…10000111110110000
31011021220101201110212
423102213100332300
5144312100134440
65322555243252
7606300365135
oct132247207660
934256351425
1012123443120
115161405288
122424149528
1311b28c59a9
1483019258c
154ae506465
hex2d29d0fb0

12123443120 has 40 divisors (see below), whose sum is σ = 28584018720. Its totient is φ = 4781073920.

The previous prime is 12123443071. The next prime is 12123443147. The reversal of 12123443120 is 2134432121.

12123443120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1061525 + ... + 1072884.

It is an arithmetic number, because the mean of its divisors is an integer number (714600468).

Almost surely, 212123443120 is an apocalyptic number.

12123443120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123443120 is an abundant number, since it is smaller than the sum of its proper divisors (16460575600).

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

12123443120 is a wasteful number, since it uses less digits than its factorization.

12123443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134493 (or 2134487 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12123443120 its reverse (2134432121), we get a palindrome (14257875241).

The spelling of 12123443120 in words is "twelve billion, one hundred twenty-three million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 2134409 4268818 8537636 10672045 17075272 21344090 34150544 42688180 85376360 151543039 170752720 303086078 606172156 757715195 1212344312 1515430390 2424688624 3030860780 6061721560 12123443120