12177754832896 has 135 divisors (see below), whose sum is σ = 24657741151869. Its totient is φ = 6014059020288.

The previous prime is 12177754832839. The next prime is 12177754832939. The reversal of 12177754832896 is 69823845777121.

The square root of 12177754832896 is 3489664.

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., 7153271193600 + 5024483639296 = 2674560^2 + 2241536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61194747805 + ... + 61194748003.

Almost surely, 2^{12177754832896} is an apocalyptic number.

12177754832896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12177754832896 is the 3489664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12177754832896

12177754832896 is an abundant number, since it is smaller than the sum of its proper divisors (12479986318973).

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

12177754832896 is an frugal number, since it uses more digits than its factorization.

12177754832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 338 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 70.

The spelling of 12177754832896 in words is "twelve trillion, one hundred seventy-seven billion, seven hundred fifty-four million, eight hundred thirty-two thousand, eight hundred ninety-six".