12401200 has 120 divisors (see below), whose sum is σ = 35180288. Its totient is φ = 4112640.

The previous prime is 12401189. The next prime is 12401251. The reversal of 12401200 is 210421.

12401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12401200² = 307579522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 120349 + ... + 120451.

Almost surely, 2^12401200 is an apocalyptic number.

12401200 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 12401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590144).

12401200 is an abundant number, since it is smaller than the sum of its proper divisors (22779088).

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

12401200 is a wasteful number, since it uses less digits than its factorization.

12401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12401200 is about 3521.5337567600. The cubic root of 12401200 is about 231.4663716281.

Adding to 12401200 its reverse (210421), we get a palindrome (12611621).

The spelling of 12401200 in words is "twelve million, four hundred one thousand, two hundred".