12177213360 has 160 divisors (see below), whose sum is σ = 40700936640. Its totient is φ = 2993946624.

The previous prime is 12177213359. The next prime is 12177213371. The reversal of 12177213360 is 6331277121.

12177213360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3520752 + ... + 3524208.

It is an arithmetic number, because the mean of its divisors is an integer number (254380854).

Almost surely, 2^12177213360 is an apocalyptic number.

12177213360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12177213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350468320).

12177213360 is an abundant number, since it is smaller than the sum of its proper divisors (28523723280).

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

12177213360 is a wasteful number, since it uses less digits than its factorization.

12177213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 12177213360 in words is "twelve billion, one hundred seventy-seven million, two hundred thirteen thousand, three hundred sixty".