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12007003249 = 25761775721
BaseRepresentation
bin10110010111010110…
…00101010001110001
31010222210021222000001
423023223011101301
5144042243100444
65303235430001
7603354562243
oct131353052161
933883258001
1012007003249
11510170528a
1223b1155301
131194747367
1481c922093
154a41a58d4
hex2cbac5471

12007003249 has 8 divisors (see below), whose sum is σ = 12073418568. Its totient is φ = 11940741120.

The previous prime is 12007003223. The next prime is 12007003271. The reversal of 12007003249 is 94230070021.

12007003249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31640625 + 11975362624 = 5625^2 + 109432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12007003249 - 29 = 12007002737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12007043249) 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, 120709 + ... + 196429.

It is an arithmetic number, because the mean of its divisors is an integer number (1509177321).

Almost surely, 212007003249 is an apocalyptic number.

It is an amenable number.

12007003249 is a deficient number, since it is larger than the sum of its proper divisors (66415319).

12007003249 is an equidigital number, since it uses as much as digits as its factorization.

12007003249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76595.

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 12007003249 in words is "twelve billion, seven million, three thousand, two hundred forty-nine".

Divisors: 1 257 617 75721 158569 19460297 46719857 12007003249