12083400 has 216 divisors, whose sum is σ = 47549970. Its totient is φ = 2741760.

The previous prime is 12083363. The next prime is 12083443. The reversal of 12083400 is 438021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9400356 + 2683044 = 3066^2 + 1638^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88132 + ... + 88268.

Almost surely, 2^12083400 is an apocalyptic number.

12083400 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 12083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774985).

12083400 is an abundant number, since it is smaller than the sum of its proper divisors (35466570).

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

12083400 is a wasteful number, since it uses less digits than its factorization.

12083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12083400 is about 3476.1185250218. The cubic root of 12083400 is about 229.4720087752.

The spelling of 12083400 in words is "twelve million, eighty-three thousand, four hundred".