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122121122010149 is a prime number
BaseRepresentation
bin11011110001000110001010…
…000110001101010000100101
3121000101122221222001111222102
4123301012022012031100211
5112001313024213311044
61111421400254541445
734502650150611233
oct3361061206152045
9530348858044872
10122121122010149
1135a03305757a29
1211843a84807885
13531ac84464422
14222299dc93953
15e1b9b5d6b24e
hex6f118a18d425

122121122010149 has 2 divisors, whose sum is σ = 122121122010150. Its totient is φ = 122121122010148.

The previous prime is 122121122010119. The next prime is 122121122010157. The reversal of 122121122010149 is 941010221121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86755383462049 + 35365738548100 = 9314257^2 + 5946910^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121122010149 - 228 = 122120853574693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121122010109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060561005074 + 61060561005075.

It is an arithmetic number, because the mean of its divisors is an integer number (61060561005075).

Almost surely, 2122121122010149 is an apocalyptic number.

It is an amenable number.

122121122010149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121122010149 is an equidigital number, since it uses as much as digits as its factorization.

122121122010149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 122121122010149 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, ten thousand, one hundred forty-nine".