120200120212129 has 2 divisors, whose sum is σ = 120200120212130. Its totient is φ = 120200120212128.

The previous prime is 120200120212091. The next prime is 120200120212147. The reversal of 120200120212129 is 921212021002021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117836951904529 + 2363168307600 = 10855273^2 + 1537260^2 .

It is a cyclic number.

It is not a de Polignac number, because 120200120212129 - 2⁹ = 120200120211617 is a prime.

It is not a weakly prime, because it can be changed into another prime (120200120212169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60100060106064 + 60100060106065.

It is an arithmetic number, because the mean of its divisors is an integer number (60100060106065).

Almost surely, 2^{120200120212129} is an apocalyptic number.

It is an amenable number.

120200120212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

120200120212129 is an equidigital number, since it uses as much as digits as its factorization.

120200120212129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 120200120212129 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-nine".