12920947200 has 960 divisors, whose sum is σ = 55814880000. Its totient is φ = 2926264320.

The previous prime is 12920947181. The next prime is 12920947231. The reversal of 12920947200 is 274902921.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118540746 + ... + 118540854.

It is an arithmetic number, because the mean of its divisors is an integer number (58140500).

Almost surely, 2^12920947200 is an apocalyptic number.

12920947200 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 12920947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907440000).

12920947200 is an abundant number, since it is smaller than the sum of its proper divisors (42893932800).

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

12920947200 is an equidigital number, since it uses as much as digits as its factorization.

12920947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12920947200 in words is "twelve billion, nine hundred twenty million, nine hundred forty-seven thousand, two hundred".