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12001819681 = 172330695191
BaseRepresentation
bin10110010110101110…
…10011110000100001
31010222102112121111001
423023113103300201
5144034431212211
65302532352001
7603262532635
oct131327236041
933872477431
1012001819681
1150a9794845
1223ab475601
131193650b67
1481bd72dc5
154a39ceac1
hex2cb5d3c21

12001819681 has 8 divisors (see below), whose sum is σ = 13260322944. Its totient is φ = 10804706880.

The previous prime is 12001819667. The next prime is 12001819693. The reversal of 12001819681 is 18691810021.

12001819681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12001819681 - 27 = 12001819553 is a prime.

It is a super-2 number, since 2×120018196812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12001819681.

It is not an unprimeable number, because it can be changed into a prime (12061819681) 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, 15347205 + ... + 15347986.

It is an arithmetic number, because the mean of its divisors is an integer number (1657540368).

Almost surely, 212001819681 is an apocalyptic number.

It is an amenable number.

12001819681 is a deficient number, since it is larger than the sum of its proper divisors (1258503263).

12001819681 is a wasteful number, since it uses less digits than its factorization.

12001819681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30695231.

The product of its (nonzero) digits is 6912, while the sum is 37.

The spelling of 12001819681 in words is "twelve billion, one million, eight hundred nineteen thousand, six hundred eighty-one".

Divisors: 1 17 23 391 30695191 521818247 705989393 12001819681