123060129003009 has 189 divisors, whose sum is σ = 208099395375571. Its totient is φ = 72682954344000.

The previous prime is 123060129002999. The next prime is 123060129003017. The reversal of 123060129003009 is 900300921060321.

It is a happy number.

The square root of 123060129003009 is 11093247.

It is a perfect power (a square), and thus also a powerful number.

123060129003009 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 60 + 1 + 290 + 0 + 300 + 9 = 666.

123060129003009 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5929726620609 + 117130402382400 = 2435103^2 + 10822680^2 .

It is not a de Polignac number, because 123060129003009 - 2¹⁷ = 123060128871937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123060129013009) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 135082468264 + ... + 135082469174.

Almost surely, 2^{123060129003009} is an apocalyptic number.

123060129003009 is the 11093247-th square number.

123060129003009 is the 5546624-th centered octagonal number.

It is an amenable number.

123060129003009 is a deficient number, since it is larger than the sum of its proper divisors (85039266372562).

123060129003009 is an frugal number, since it uses more digits than its factorization.

123060129003009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 123060129003009 in words is "one hundred twenty-three trillion, sixty billion, one hundred twenty-nine million, three thousand, nine".