12967500 has 240 divisors, whose sum is σ = 48984320. Its totient is φ = 2592000.

The previous prime is 12967483. The next prime is 12967523. The reversal of 12967500 is 576921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 682491 + ... + 682509.

Almost surely, 2^12967500 is an apocalyptic number.

12967500 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 12967500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492160).

12967500 is an abundant number, since it is smaller than the sum of its proper divisors (36016820).

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

12967500 is a wasteful number, since it uses less digits than its factorization.

12967500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 12967500 is about 3601.0415160062. The cubic root of 12967500 is about 234.9373607005.

The spelling of 12967500 in words is "twelve million, nine hundred sixty-seven thousand, five hundred".