12645253661100 has 36 divisors (see below), whose sum is σ = 36586933926984. Its totient is φ = 3372067642880.

The previous prime is 12645253661093. The next prime is 12645253661137. The reversal of 12645253661100 is 116635254621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21075422469 + ... + 21075423068.

It is an arithmetic number, because the mean of its divisors is an integer number (1016303720194).

Almost surely, 2^{12645253661100} is an apocalyptic number.

12645253661100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12645253661100 is an abundant number, since it is smaller than the sum of its proper divisors (23941680265884).

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

12645253661100 is a wasteful number, since it uses less digits than its factorization.

12645253661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42150845554 (or 42150845547 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 12645253661100 in words is "twelve trillion, six hundred forty-five billion, two hundred fifty-three million, six hundred sixty-one thousand, one hundred".