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221222120129 is a prime number
BaseRepresentation
bin1100111000000111011…
…1011010101011000001
3210011000100110002101122
43032001313122223001
512111030330321004
6245343353442025
721661042665233
oct3160167325301
9704010402348
10221222120129
118590213515a
1236a5aa10315
1317b26c646ca
14a9c8814253
155b4b649cbe
hex3381ddaac1

221222120129 has 2 divisors, whose sum is σ = 221222120130. Its totient is φ = 221222120128.

The previous prime is 221222120089. The next prime is 221222120149. The reversal of 221222120129 is 921021222122.

221222120129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182226534400 + 38995585729 = 426880^2 + 197473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221222120129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221222120098 and 221222120107.

It is not a weakly prime, because it can be changed into another prime (221222120149) 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, 110611060064 + 110611060065.

It is an arithmetic number, because the mean of its divisors is an integer number (110611060065).

Almost surely, 2221222120129 is an apocalyptic number.

It is an amenable number.

221222120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221222120129 is an equidigital number, since it uses as much as digits as its factorization.

221222120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221222120129 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-nine".