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12262013337601 is a prime number
BaseRepresentation
bin1011001001101111100011…
…1100110000000000000001
31121102020101210101202000101
42302123320330300000001
53101400100403300401
642025031405122401
72403621056436106
oct262337074600001
947366353352011
1012262013337601
1139a832194a435
121460563559401
136ac3c2603061
143056adac0aad
15163e6a742101
hexb26f8f30001

12262013337601 has 2 divisors, whose sum is σ = 12262013337602. Its totient is φ = 12262013337600.

The previous prime is 12262013337593. The next prime is 12262013337611. The reversal of 12262013337601 is 10673331026221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11783669580225 + 478343757376 = 3432735^2 + 691624^2 .

It is a cyclic number.

It is not a de Polignac number, because 12262013337601 - 23 = 12262013337593 is a prime.

It is not a weakly prime, because it can be changed into another prime (12262013337611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6131006668800 + 6131006668801.

It is an arithmetic number, because the mean of its divisors is an integer number (6131006668801).

Almost surely, 212262013337601 is an apocalyptic number.

It is an amenable number.

12262013337601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12262013337601 is an equidigital number, since it uses as much as digits as its factorization.

12262013337601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 12262013337601 in words is "twelve trillion, two hundred sixty-two billion, thirteen million, three hundred thirty-seven thousand, six hundred one".