120312011332129 has 2 divisors, whose sum is σ = 120312011332130. Its totient is φ = 120312011332128.

The previous prime is 120312011332031. The next prime is 120312011332133. The reversal of 120312011332129 is 921233110213021.

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., 118152052029729 + 2159959302400 = 10869777^2 + 1469680^2 .

It is a cyclic number.

It is not a de Polignac number, because 120312011332129 - 2¹⁹ = 120312010807841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120312011332129.

It is not a weakly prime, because it can be changed into another prime (120312011332159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60156005666064 + 60156005666065.

It is an arithmetic number, because the mean of its divisors is an integer number (60156005666065).

Almost surely, 2^{120312011332129} is an apocalyptic number.

It is an amenable number.

120312011332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

120312011332129 is an equidigital number, since it uses as much as digits as its factorization.

120312011332129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 120312011332129 in words is "one hundred twenty trillion, three hundred twelve billion, eleven million, three hundred thirty-two thousand, one hundred twenty-nine".