12177824880 has 320 divisors, whose sum is σ = 43227233280. Its totient is φ = 2809479168.

The previous prime is 12177824851. The next prime is 12177824909. The reversal of 12177824880 is 8842877121.

It is an interprime number because it is at equal distance from previous prime (12177824851) and next prime (12177824909).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 23284299 + ... + 23284821.

It is an arithmetic number, because the mean of its divisors is an integer number (135085104).

Almost surely, 2^12177824880 is an apocalyptic number.

12177824880 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 12177824880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613616640).

12177824880 is an abundant number, since it is smaller than the sum of its proper divisors (31049408400).

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

12177824880 is a wasteful number, since it uses less digits than its factorization.

12177824880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 12177824880 in words is "twelve billion, one hundred seventy-seven million, eight hundred twenty-four thousand, eight hundred eighty".