12992332677120 has 1920 divisors, whose sum is σ = 51937655777280. Its totient is φ = 3064442388480.

The previous prime is 12992332677119. The next prime is 12992332677131. The reversal of 12992332677120 is 2177623329921.

12992332677120 is a `hidden beast` number, since 1 + 29 + 9 + 233 + 267 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 71780843430 + ... + 71780843610.

It is an arithmetic number, because the mean of its divisors is an integer number (27050862384).

Almost surely, 2^{12992332677120} is an apocalyptic number.

12992332677120 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 12992332677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968827888640).

12992332677120 is an abundant number, since it is smaller than the sum of its proper divisors (38945323100160).

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

12992332677120 is a wasteful number, since it uses less digits than its factorization.

12992332677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 12992332677120 in words is "twelve trillion, nine hundred ninety-two billion, three hundred thirty-two million, six hundred seventy-seven thousand, one hundred twenty".