120012008129 has 8 divisors (see below), whose sum is σ = 129249184680. Its totient is φ = 110775614976.

The previous prime is 120012008089. The next prime is 120012008143. The reversal of 120012008129 is 921800210021.

It can be written as a sum of positive squares in 4 ways, for example, as 64198890625 + 55813117504 = 253375^2 + 236248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120012008129 - 2¹⁶ = 120011942593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120012008098 and 120012008107.

It is not an unprimeable number, because it can be changed into a prime (120012001129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144209 + ... + 510705.

It is an arithmetic number, because the mean of its divisors is an integer number (16156148085).

Almost surely, 2^120012008129 is an apocalyptic number.

It is an amenable number.

120012008129 is a deficient number, since it is larger than the sum of its proper divisors (9237176551).

120012008129 is a wasteful number, since it uses less digits than its factorization.

120012008129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391699.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 120012008129 in words is "one hundred twenty billion, twelve million, eight thousand, one hundred twenty-nine".