12008990229201 has 135 divisors (see below), whose sum is σ = 21477117496653. Its totient is φ = 6447305531520.

The previous prime is 12008990229169. The next prime is 12008990229253. The reversal of 12008990229201 is 10292209980021.

The square root of 12008990229201 is 3465399.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3727027163601 + 8281963065600 = 1930551^2 + 2877840^2 .

It is not a de Polignac number, because 12008990229201 - 2⁵ = 12008990229169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12008990229281) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21031506246 + ... + 21031506816.

Almost surely, 2^{12008990229201} is an apocalyptic number.

12008990229201 is the 3465399-th square number.

12008990229201 is the 1732700-th centered octagonal number.

It is an amenable number.

12008990229201 is a deficient number, since it is larger than the sum of its proper divisors (9468127267452).

12008990229201 is an frugal number, since it uses more digits than its factorization.

12008990229201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12008990229201 in words is "twelve trillion, eight billion, nine hundred ninety million, two hundred twenty-nine thousand, two hundred one".