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12201022220993 is a prime number
BaseRepresentation
bin1011000110001100010110…
…0110000110101011000001
31121012101222012211222212122
42301203011212012223001
53044400143142032433
641541023333534025
72366331463466444
oct261430546065301
947171865758778
1012201022220993
113984473a66841
1214507817a4315
136a6722729248
1430276575365b
1516259aeb5198
hexb18c5986ac1

12201022220993 has 2 divisors, whose sum is σ = 12201022220994. Its totient is φ = 12201022220992.

The previous prime is 12201022220971. The next prime is 12201022221127. The reversal of 12201022220993 is 39902222010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12065014681729 + 136007539264 = 3473473^2 + 368792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201022220993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201022220963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100511110496 + 6100511110497.

It is an arithmetic number, because the mean of its divisors is an integer number (6100511110497).

Almost surely, 212201022220993 is an apocalyptic number.

It is an amenable number.

12201022220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201022220993 is an equidigital number, since it uses as much as digits as its factorization.

12201022220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 12201022220993 in words is "twelve trillion, two hundred one billion, twenty-two million, two hundred twenty thousand, nine hundred ninety-three".