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12105012540 = 2235201750209
BaseRepresentation
bin10110100011000001…
…11101010100111100
31011020121201100110210
423101200331110330
5144242340400130
65321100232420
7605654623515
oct132140752474
934217640423
1012105012540
115151a670a5
122419b3b710
1311abb41a1a
1482b955a0c
154acab55b0
hex2d183d53c

12105012540 has 24 divisors (see below), whose sum is σ = 33894035280. Its totient is φ = 3228003328.

The previous prime is 12105012529. The next prime is 12105012541. The reversal of 12105012540 is 4521050121.

12105012540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105012541) 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, 100875045 + ... + 100875164.

It is an arithmetic number, because the mean of its divisors is an integer number (1412251470).

Almost surely, 212105012540 is an apocalyptic number.

12105012540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105012540 is an abundant number, since it is smaller than the sum of its proper divisors (21789022740).

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

12105012540 is a wasteful number, since it uses less digits than its factorization.

12105012540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201750221 (or 201750219 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 12105012540 its reverse (4521050121), we get a palindrome (16626062661).

The spelling of 12105012540 in words is "twelve billion, one hundred five million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 201750209 403500418 605250627 807000836 1008751045 1210501254 2017502090 2421002508 3026253135 4035004180 6052506270 12105012540