12993210 has 48 divisors (see below), whose sum is σ = 35040096. Its totient is φ = 3464208.

The previous prime is 12993193. The next prime is 12993221. The reversal of 12993210 is 1239921.

It is a super-2 number, since 2×12993210² = 337647012208200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 244 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (730002).

Almost surely, 2^12993210 is an apocalyptic number.

12993210 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 12993210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520048).

12993210 is an abundant number, since it is smaller than the sum of its proper divisors (22046886).

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

12993210 is an equidigital number, since it uses as much as digits as its factorization.

12993210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12993210 is about 3604.6095488971. The cubic root of 12993210 is about 235.0925243029.

It can be divided in two parts, 12993 and 210, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12993210 in words is "twelve million, nine hundred ninety-three thousand, two hundred ten".