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12122253903457 is a prime number
BaseRepresentation
bin1011000001100110111010…
…1000110100011001100001
31120220212122201100212120201
42300121232220310121201
53042102333444402312
641440515255305201
72360542516030015
oct260315650643141
946825581325521
1012122253903457
113954023335a55
12143945a37b201
1369c17b82c629
142dca123d4545
151604dabde557
hexb066ea34661

12122253903457 has 2 divisors, whose sum is σ = 12122253903458. Its totient is φ = 12122253903456.

The previous prime is 12122253903413. The next prime is 12122253903509. The reversal of 12122253903457 is 75430935222121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11909925557776 + 212328345681 = 3451076^2 + 460791^2 .

It is an emirp because it is prime and its reverse (75430935222121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12122253903457 - 27 = 12122253903329 is a prime.

It is a super-3 number, since 3×121222539034573 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12122253906457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061126951728 + 6061126951729.

It is an arithmetic number, because the mean of its divisors is an integer number (6061126951729).

Almost surely, 212122253903457 is an apocalyptic number.

It is an amenable number.

12122253903457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122253903457 is an equidigital number, since it uses as much as digits as its factorization.

12122253903457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 12122253903457 in words is "twelve trillion, one hundred twenty-two billion, two hundred fifty-three million, nine hundred three thousand, four hundred fifty-seven".