20121120013129 has 2 divisors, whose sum is σ = 20121120013130. Its totient is φ = 20121120013128.

The previous prime is 20121120013061. The next prime is 20121120013259. The reversal of 20121120013129 is 92131002112102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20112103561104 + 9016452025 = 4484652^2 + 94955^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121120013129 - 2¹⁵ = 20121119980361 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121120010129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060560006564 + 10060560006565.

It is an arithmetic number, because the mean of its divisors is an integer number (10060560006565).

Almost surely, 2^{20121120013129} is an apocalyptic number.

It is an amenable number.

20121120013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121120013129 is an equidigital number, since it uses as much as digits as its factorization.

20121120013129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 20121120013129 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, thirteen thousand, one hundred twenty-nine".