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12034433320321 = 28165296559529
BaseRepresentation
bin1010111100011111110000…
…0111111000010110000001
31120121110222100110000100111
42233013330013320112001
53034133004412222241
641332313051351321
72351313322264336
oct257077407702601
946543870400314
1012034433320321
11391a857966025
12142442b452541
13693ac43b3039
142d8680b3698d
1515d09ad65c81
hexaf1fc1f8581

12034433320321 has 8 divisors (see below), whose sum is σ = 12079112113800. Its totient is φ = 11989767659520.

The previous prime is 12034433320297. The next prime is 12034433320333. The reversal of 12034433320321 is 12302333443021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3856663617921 + 8177769702400 = 1963839^2 + 2859680^2 .

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 12034433320321 - 29 = 12034433319809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12034433320361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445116 + ... + 5114413.

It is an arithmetic number, because the mean of its divisors is an integer number (1509889014225).

Almost surely, 212034433320321 is an apocalyptic number.

It is an amenable number.

12034433320321 is a deficient number, since it is larger than the sum of its proper divisors (44678793479).

12034433320321 is an equidigital number, since it uses as much as digits as its factorization.

12034433320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566339.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 12034433320321 its reverse (12302333443021), we get a palindrome (24336766763342).

The spelling of 12034433320321 in words is "twelve trillion, thirty-four billion, four hundred thirty-three million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 281 6529 1834649 6559529 1843227649 42827164841 12034433320321