12948720120 has 192 divisors, whose sum is σ = 48591990720. Its totient is φ = 2929139712.

The previous prime is 12948720107. The next prime is 12948720131. The reversal of 12948720120 is 2102784921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217954 + ... + 270926.

It is an arithmetic number, because the mean of its divisors is an integer number (253083285).

Almost surely, 2^12948720120 is an apocalyptic number.

12948720120 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 12948720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295995360).

12948720120 is an abundant number, since it is smaller than the sum of its proper divisors (35643270600).

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

12948720120 is a wasteful number, since it uses less digits than its factorization.

12948720120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53094 (or 53087 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12948720120 in words is "twelve billion, nine hundred forty-eight million, seven hundred twenty thousand, one hundred twenty".