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120211201220993 is a prime number
BaseRepresentation
bin11011010101010011011001…
…111100100110000110000001
3120202122002010022010200222122
4123111103121330212012001
5111224020020003032433
61103400132524014025
734214654426015141
oct3325233174460601
9522562108120878
10120211201220993
113533731420a543
12115958a0091315
13520cb3826745c
142198378a40921
15dd6e81165198
hex6d54d9f26181

120211201220993 has 2 divisors, whose sum is σ = 120211201220994. Its totient is φ = 120211201220992.

The previous prime is 120211201220941. The next prime is 120211201221029. The reversal of 120211201220993 is 399022102112021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117774954741889 + 2436246479104 = 10852417^2 + 1560848^2 .

It is a cyclic number.

It is not a de Polignac number, because 120211201220993 - 244 = 102619015176577 is a prime.

It is not a weakly prime, because it can be changed into another prime (120211201220933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60105600610496 + 60105600610497.

It is an arithmetic number, because the mean of its divisors is an integer number (60105600610497).

Almost surely, 2120211201220993 is an apocalyptic number.

It is an amenable number.

120211201220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

120211201220993 is an equidigital number, since it uses as much as digits as its factorization.

120211201220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 120211201220993 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred one million, two hundred twenty thousand, nine hundred ninety-three".