12177712072128 has 112 divisors (see below), whose sum is σ = 32558743965440. Its totient is φ = 4016602128384.

The previous prime is 12177712072103. The next prime is 12177712072177. The reversal of 12177712072128 is 82127021777121.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 99074133 + ... + 99196971.

It is an arithmetic number, because the mean of its divisors is an integer number (290703071120).

Almost surely, 2^{12177712072128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12177712072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279371982720).

12177712072128 is an abundant number, since it is smaller than the sum of its proper divisors (20381031893312).

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

12177712072128 is a wasteful number, since it uses less digits than its factorization.

12177712072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128274 (or 128264 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 48.

The spelling of 12177712072128 in words is "twelve trillion, one hundred seventy-seven billion, seven hundred twelve million, seventy-two thousand, one hundred twenty-eight".