12870159120 has 640 divisors, whose sum is σ = 55926420480. Its totient is φ = 2647572480.

The previous prime is 12870159091. The next prime is 12870159149. The reversal of 12870159120 is 2195107821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12870159091) and next prime (12870159149).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058162 + ... + 8059758.

It is an arithmetic number, because the mean of its divisors is an integer number (87385032).

Almost surely, 2^12870159120 is an apocalyptic number.

12870159120 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 12870159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27963210240).

12870159120 is an abundant number, since it is smaller than the sum of its proper divisors (43056261360).

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

12870159120 is a wasteful number, since it uses less digits than its factorization.

12870159120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12870159120 in words is "twelve billion, eight hundred seventy million, one hundred fifty-nine thousand, one hundred twenty".