12074400 has 288 divisors, whose sum is σ = 48121920. Its totient is φ = 2903040.

The previous prime is 12074393. The next prime is 12074417. The reversal of 12074400 is 447021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12074400² = 291582270720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 280779 + ... + 280821.

It is an arithmetic number, because the mean of its divisors is an integer number (167090).

Almost surely, 2^12074400 is an apocalyptic number.

12074400 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 12074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

12074400 is an abundant number, since it is smaller than the sum of its proper divisors (36047520).

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

12074400 is a wasteful number, since it uses less digits than its factorization.

12074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12074400 is about 3474.8237365369. The cubic root of 12074400 is about 229.4150225782.

The spelling of 12074400 in words is "twelve million, seventy-four thousand, four hundred".