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12454822081321 = 432820732
BaseRepresentation
bin1011010100111101110100…
…1111101111001100101001
31122002200001222001202102121
42311033131033233030221
53113024433423100241
642253355525431241
72423555046634264
oct265173517571451
948080058052377
1012454822081321
113a72073406324
1214919b286b521
136c463bb03aa9
14310b60a9bcdb
15168ea26bdad1
hexb53dd3ef329

12454822081321 has 9 divisors (see below), whose sum is σ = 12751360449879. Its totient is φ = 12165026832336.

The previous prime is 12454822081277. The next prime is 12454822081393. The reversal of 12454822081321 is 12318022845421.

The square root of 12454822081321 is 3529139.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36697149225 + 12418124932096 = 191565^2 + 3523936^2 .

It is not a de Polignac number, because 12454822081321 - 227 = 12454687863593 is a prime.

It is a super-2 number, since 2×124548220813212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12454822082321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151711941 + ... + 151794013.

Almost surely, 212454822081321 is an apocalyptic number.

12454822081321 is the 3529139-th square number.

12454822081321 is the 1764570-th centered octagonal number.

It is an amenable number.

12454822081321 is a deficient number, since it is larger than the sum of its proper divisors (296538368558).

12454822081321 is an frugal number, since it uses more digits than its factorization.

12454822081321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164232 (or 82116 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 12454822081321 in words is "twelve trillion, four hundred fifty-four billion, eight hundred twenty-two million, eighty-one thousand, three hundred twenty-one".

Divisors: 1 43 1849 82073 3529139 151752977 6735977329 289647025147 12454822081321