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1200212112181 is a prime number
BaseRepresentation
bin10001011101110010001…
…101110111001100110101
311020201221211211112012011
4101131302031313030311
5124131013300042211
62315211514524221
7152466242424625
oct21356215671465
94221854745164
101200212112181
114230094a2115
12174738736671
1389244523084
144213a780885
1521348638921
hex11772377335

1200212112181 has 2 divisors, whose sum is σ = 1200212112182. Its totient is φ = 1200212112180.

The previous prime is 1200212112179. The next prime is 1200212112223. The reversal of 1200212112181 is 1812112120021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1137944895025 + 62267217156 = 1066745^2 + 249534^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200212112181 - 21 = 1200212112179 is a prime.

It is a super-2 number, since 2×12002121121812 (a number of 25 digits) contains 22 as substring.

Together with 1200212112179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1200212115181) 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, 600106056090 + 600106056091.

It is an arithmetic number, because the mean of its divisors is an integer number (600106056091).

Almost surely, 21200212112181 is an apocalyptic number.

It is an amenable number.

1200212112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200212112181 is an equidigital number, since it uses as much as digits as its factorization.

1200212112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 1200212112181 in words is "one trillion, two hundred billion, two hundred twelve million, one hundred twelve thousand, one hundred eighty-one".