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122121310229 is a prime number
BaseRepresentation
bin111000110111011111…
…1110101000000010101
3102200012211210100001222
41301232333311000111
54000101023411404
6132033551300125
711552165003222
oct1615677650025
9380184710058
10122121310229
1147878328976
121b80221a645
13b692826b19
145ca6d7c949
15329b32bdbe
hex1c6eff5015

122121310229 has 2 divisors, whose sum is σ = 122121310230. Its totient is φ = 122121310228.

The previous prime is 122121310147. The next prime is 122121310271. The reversal of 122121310229 is 922013121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97762528900 + 24358781329 = 312670^2 + 156073^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121310229 - 236 = 53401833493 is a prime.

It is a super-2 number, since 2×1221213102292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121310198 and 122121310207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121310529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060655114 + 61060655115.

It is an arithmetic number, because the mean of its divisors is an integer number (61060655115).

Almost surely, 2122121310229 is an apocalyptic number.

It is an amenable number.

122121310229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121310229 is an equidigital number, since it uses as much as digits as its factorization.

122121310229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 122121310229 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred ten thousand, two hundred twenty-nine".