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12293648949121 is a prime number
BaseRepresentation
bin1011001011100101011010…
…0101000001111110000001
31121112021001112101022120221
42302321112211001332001
53102404343112332441
642051342510103041
72406121036624501
oct262712645017601
947467045338527
1012293648949121
113a0a786378621
1214667121aaa81
136b23947bc107
1430703144da01
15164bbcc518d1
hexb2e56941f81

12293648949121 has 2 divisors, whose sum is σ = 12293648949122. Its totient is φ = 12293648949120.

The previous prime is 12293648949103. The next prime is 12293648949139. The reversal of 12293648949121 is 12194984639221.

It is a balanced prime because it is at equal distance from previous prime (12293648949103) and next prime (12293648949139).

It can be written as a sum of positive squares in only one way, i.e., 11625808592896 + 667840356225 = 3409664^2 + 817215^2 .

It is an emirp because it is prime and its reverse (12194984639221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12293648949121 - 25 = 12293648949089 is a prime.

It is a super-2 number, since 2×122936489491212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12293648949121.

It is not a weakly prime, because it can be changed into another prime (12293648049121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6146824474560 + 6146824474561.

It is an arithmetic number, because the mean of its divisors is an integer number (6146824474561).

Almost surely, 212293648949121 is an apocalyptic number.

It is an amenable number.

12293648949121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12293648949121 is an equidigital number, since it uses as much as digits as its factorization.

12293648949121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13436928, while the sum is 61.

The spelling of 12293648949121 in words is "twelve trillion, two hundred ninety-three billion, six hundred forty-eight million, nine hundred forty-nine thousand, one hundred twenty-one".