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12005612720 = 245320346853
BaseRepresentation
bin10110010111001011…
…10001110010110000
31010222200200022112222
423023211301302300
5144041414101340
65303145540212
7603340011233
oct131345616260
933880608488
1012005612720
115100945592
1223b07a4668
13119437b46a
1481c67d41a
154a3ecd8b5
hex2cb971cb0

12005612720 has 40 divisors (see below), whose sum is σ = 27922360176. Its totient is φ = 4800643328.

The previous prime is 12005612681. The next prime is 12005612767. The reversal of 12005612720 is 2721650021.

12005612720 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 a self number, because there is not a number n which added to its sum of digits gives 12005612720.

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, 232814 + ... + 279666.

Almost surely, 212005612720 is an apocalyptic number.

12005612720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005612720 is an abundant number, since it is smaller than the sum of its proper divisors (15916747456).

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

12005612720 is a wasteful number, since it uses less digits than its factorization.

12005612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50069 (or 50063 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 12005612720 in words is "twelve billion, five million, six hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3203 6406 12812 16015 25624 32030 46853 51248 64060 93706 128120 187412 234265 256240 374824 468530 749648 937060 1874120 3748240 150070159 300140318 600280636 750350795 1200561272 1500701590 2401122544 3001403180 6002806360 12005612720