12076400 has 120 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 3905280.

The previous prime is 12076399. The next prime is 12076411. The reversal of 12076400 is 467021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53087 + ... + 53313.

It is an arithmetic number, because the mean of its divisors is an integer number (292144).

Almost surely, 2^12076400 is an apocalyptic number.

12076400 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 12076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

12076400 is an abundant number, since it is smaller than the sum of its proper divisors (22980880).

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

12076400 is a wasteful number, since it uses less digits than its factorization.

12076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 12076400 is about 3475.1115090023. Note that the first 3 decimals coincide. The cubic root of 12076400 is about 229.4276886241.

The spelling of 12076400 in words is "twelve million, seventy-six thousand, four hundred".