12207966120100 has 27 divisors (see below), whose sum is σ = 26491362300417. Its totient is φ = 4883172472080.

The previous prime is 12207966120083. The next prime is 12207966120121. The reversal of 12207966120100 is 102166970221.

The square root of 12207966120100 is 3493990.

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

It can be written as a sum of positive squares in only one way, i.e., 4394867803236 + 7813098316864 = 2096394^2 + 2795192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12207966120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34765201 + ... + 35114599.

Almost surely, 2^{12207966120100} is an apocalyptic number.

12207966120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12207966120100 is the 3493990-th square number.

It is an amenable number.

12207966120100 is an abundant number, since it is smaller than the sum of its proper divisors (14283396180317).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12207966120100 is an frugal number, since it uses more digits than its factorization.

12207966120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698812 (or 349406 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 12207966120100 in words is "twelve trillion, two hundred seven billion, nine hundred sixty-six million, one hundred twenty thousand, one hundred".