12982300 has 36 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 5158720.

The previous prime is 12982283. The next prime is 12982303. The reversal of 12982300 is 328921.

It is a super-2 number, since 2×12982300² = 337080226580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19371 + ... + 20029.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^12982300 is an apocalyptic number.

12982300 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 12982300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

12982300 is an abundant number, since it is smaller than the sum of its proper divisors (15375260).

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

12982300 is a wasteful number, since it uses less digits than its factorization.

12982300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12982300 is about 3603.0958910359. The cubic root of 12982300 is about 235.0267058830.

The spelling of 12982300 in words is "twelve million, nine hundred eighty-two thousand, three hundred".