12075351217700 has 72 divisors (see below), whose sum is σ = 27155751373800. Its totient is φ = 4655210613760.

The previous prime is 12075351217637. The next prime is 12075351217733. The reversal of 12075351217700 is 771215357021.

It can be written as a sum of positive squares in 12 ways, for example, as 7382512858084 + 4692838359616 = 2717078^2 + 2166296^2 .

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 23 ways as a sum of consecutive naturals, for example, 2122505 + ... + 5353104.

It is an arithmetic number, because the mean of its divisors is an integer number (377163213525).

Almost surely, 2^{12075351217700} is an apocalyptic number.

12075351217700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12075351217700 is an abundant number, since it is smaller than the sum of its proper divisors (15080400156100).

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

12075351217700 is a wasteful number, since it uses less digits than its factorization.

12075351217700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476209 (or 7476202 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 12075351217700 in words is "twelve trillion, seventy-five billion, three hundred fifty-one million, two hundred seventeen thousand, seven hundred".