12098400 has 108 divisors (see below), whose sum is σ = 39942756. Its totient is φ = 3180800.

The previous prime is 12098399. The next prime is 12098413. The reversal of 12098400 is 489021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 170365 + ... + 170435.

Almost surely, 2^12098400 is an apocalyptic number.

12098400 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 12098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971378).

12098400 is an abundant number, since it is smaller than the sum of its proper divisors (27844356).

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

12098400 is an equidigital number, since it uses as much as digits as its factorization.

12098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12098400 is about 3478.2754347521. The cubic root of 12098400 is about 229.5669229222.

Multiplying 12098400 by its sum of digits (24), we get a square (290361600 = 17040²).

12098400 divided by its sum of digits (24) gives a square (504100 = 710²).

The spelling of 12098400 in words is "twelve million, ninety-eight thousand, four hundred".