12128400 has 120 divisors (see below), whose sum is σ = 43206560. Its totient is φ = 3231360.

The previous prime is 12128399. The next prime is 12128401. The reversal of 12128400 is 482121.

It is an interprime number because it is at equal distance from previous prime (12128399) and next prime (12128401).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12128401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10239 + ... + 11361.

Almost surely, 2^12128400 is an apocalyptic number.

12128400 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 12128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603280).

12128400 is an abundant number, since it is smaller than the sum of its proper divisors (31078160).

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

12128400 is a wasteful number, since it uses less digits than its factorization.

12128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12128400 is about 3482.5852466235. The cubic root of 12128400 is about 229.7565161197.

The spelling of 12128400 in words is "twelve million, one hundred twenty-eight thousand, four hundred".