12819870 has 240 divisors, whose sum is σ = 44692560. Its totient is φ = 2612736.

The previous prime is 12819869. The next prime is 12819881. The reversal of 12819870 is 7891821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 674721 + ... + 674739.

It is an arithmetic number, because the mean of its divisors is an integer number (186219).

Almost surely, 2^12819870 is an apocalyptic number.

12819870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12819870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346280).

12819870 is an abundant number, since it is smaller than the sum of its proper divisors (31872690).

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

12819870 is a wasteful number, since it uses less digits than its factorization.

12819870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12819870 is about 3580.4846040725. The cubic root of 12819870 is about 234.0423986289.

It can be divided in two parts, 12819 and 870, that added together give a square (13689 = 117²).

The spelling of 12819870 in words is "twelve million, eight hundred nineteen thousand, eight hundred seventy".