12002088146409 has 27 divisors (see below), whose sum is σ = 18297113166813. Its totient is φ = 7580141479224.

The previous prime is 12002088146353. The next prime is 12002088146429. The reversal of 12002088146409 is 90464188020021.

The square root of 12002088146409 is 3464403.

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

12002088146409 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 20 + 88 + 146 + 409 = 666.

It is not a de Polignac number, because 12002088146409 - 2¹⁵ = 12002088113641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002088146429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197440582 + ... + 197501360.

Almost surely, 2^{12002088146409} is an apocalyptic number.

12002088146409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12002088146409 is the 3464403-rd square number.

12002088146409 is the 1732202-nd centered octagonal number.

It is an amenable number.

12002088146409 is a deficient number, since it is larger than the sum of its proper divisors (6295025020404).

12002088146409 is an frugal number, since it uses more digits than its factorization.

12002088146409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121602 (or 60801 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12002088146409 in words is "twelve trillion, two billion, eighty-eight million, one hundred forty-six thousand, four hundred nine".