12177520128 has 320 divisors, whose sum is σ = 38536819200. Its totient is φ = 3785564160.

The previous prime is 12177520081. The next prime is 12177520133. The reversal of 12177520128 is 82102577121.

12177520128 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 7 + 520 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12177520092 and 12177520101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18648250 + ... + 18648902.

It is an arithmetic number, because the mean of its divisors is an integer number (120427560).

Almost surely, 2^12177520128 is an apocalyptic number.

12177520128 is a gapful number since it is divisible by the number (18) 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 12177520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268409600).

12177520128 is an abundant number, since it is smaller than the sum of its proper divisors (26359299072).

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

12177520128 is an equidigital number, since it uses as much as digits as its factorization.

12177520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12177520128 in words is "twelve billion, one hundred seventy-seven million, five hundred twenty thousand, one hundred twenty-eight".