12891400 has 48 divisors (see below), whose sum is σ = 30690000. Its totient is φ = 5033280.

The previous prime is 12891353. The next prime is 12891409. The reversal of 12891400 is 419821.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12891409) 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, 7851 + ... + 9349.

It is an arithmetic number, because the mean of its divisors is an integer number (639375).

Almost surely, 2^12891400 is an apocalyptic number.

12891400 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 12891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345000).

12891400 is an abundant number, since it is smaller than the sum of its proper divisors (17798600).

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

12891400 is a wasteful number, since it uses less digits than its factorization.

12891400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12891400 is about 3590.4595806108. The cubic root of 12891400 is about 234.4768807440.

The spelling of 12891400 in words is "twelve million, eight hundred ninety-one thousand, four hundred".