12946077120 has 224 divisors, whose sum is σ = 43423027200. Its totient is φ = 3258814464.

The previous prime is 12946077119. The next prime is 12946077163. The reversal of 12946077120 is 2177064921.

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, 5780961 + ... + 5783199.

It is an arithmetic number, because the mean of its divisors is an integer number (193852800).

Almost surely, 2^12946077120 is an apocalyptic number.

12946077120 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 12946077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21711513600).

12946077120 is an abundant number, since it is smaller than the sum of its proper divisors (30476950080).

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

12946077120 is a wasteful number, since it uses less digits than its factorization.

12946077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 12946077120 in words is "twelve billion, nine hundred forty-six million, seventy-seven thousand, one hundred twenty".