122120012110249 has 2 divisors, whose sum is σ = 122120012110250. Its totient is φ = 122120012110248.

The previous prime is 122120012110231. The next prime is 122120012110267. The reversal of 122120012110249 is 942011210021221.

It is a balanced prime because it is at equal distance from previous prime (122120012110231) and next prime (122120012110267).

It can be written as a sum of positive squares in only one way, i.e., 120775704040000 + 1344308070249 = 10989800^2 + 1159443^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120012110249 - 2¹⁷ = 122120011979177 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120012110289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060006055124 + 61060006055125.

It is an arithmetic number, because the mean of its divisors is an integer number (61060006055125).

Almost surely, 2^{122120012110249} is an apocalyptic number.

It is an amenable number.

122120012110249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120012110249 is an equidigital number, since it uses as much as digits as its factorization.

122120012110249 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 28.

The spelling of 122120012110249 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred ten thousand, two hundred forty-nine".