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12001200001 = 72244922449
BaseRepresentation
bin10110010110101001…
…11100011110000001
31010222101101010102221
423023110330132001
5144034301400001
65302511211041
7603254342200
oct131324743601
933871333387
1012001200001
1150a940120a
1223ab216a81
131193494a9b
1481bc51237
154a390b1a1
hex2cb53c781

12001200001 has 6 divisors (see below), whose sum is σ = 13960579650. Its totient is φ = 10286742816.

The previous prime is 12001199983. The next prime is 12001200017. The reversal of 12001200001 is 10000210021.

12001200001 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 only one way, i.e., 8147770225 + 3853429776 = 90265^2 + 62076^2 .

It is not a de Polignac number, because 12001200001 - 233 = 3411265409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001203001) 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 5 ways as a sum of consecutive naturals, for example, 122461176 + ... + 122461273.

It is an arithmetic number, because the mean of its divisors is an integer number (2326763275).

Almost surely, 212001200001 is an apocalyptic number.

It is an amenable number.

12001200001 is a deficient number, since it is larger than the sum of its proper divisors (1959379649).

12001200001 is an equidigital number, since it uses as much as digits as its factorization.

12001200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244922463 (or 244922456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12001200001 its reverse (10000210021), we get a palindrome (22001410022).

The spelling of 12001200001 in words is "twelve billion, one million, two hundred thousand, one".

Divisors: 1 7 49 244922449 1714457143 12001200001