12570880 has 144 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 4055040.

The previous prime is 12570869. The next prime is 12570881. The reversal of 12570880 is 8807521.

It is not an unprimeable number, because it can be changed into a prime (12570881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206050 + ... + 206110.

It is an arithmetic number, because the mean of its divisors is an integer number (253456).

Almost surely, 2^12570880 is an apocalyptic number.

12570880 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 12570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

12570880 is an abundant number, since it is smaller than the sum of its proper divisors (23926784).

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

12570880 is an equidigital number, since it uses as much as digits as its factorization.

12570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 12570880 is about 3545.5436818632. The cubic root of 12570880 is about 232.5172762435.

The spelling of 12570880 in words is "twelve million, five hundred seventy thousand, eight hundred eighty".