12260400 has 120 divisors (see below), whose sum is σ = 41653584. Its totient is φ = 3072000.

The previous prime is 12260333. The next prime is 12260401. The reversal of 12260400 is 406221.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12260400.

It is not an unprimeable number, because it can be changed into a prime (12260401) 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, 20100 + ... + 20700.

Almost surely, 2^12260400 is an apocalyptic number.

12260400 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 12260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826792).

12260400 is an abundant number, since it is smaller than the sum of its proper divisors (29393184).

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

12260400 is a wasteful number, since it uses less digits than its factorization.

12260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12260400 is about 3501.4853990842. The cubic root of 12260400 is about 230.5870322556.

Adding to 12260400 its reverse (406221), we get a palindrome (12666621).

The spelling of 12260400 in words is "twelve million, two hundred sixty thousand, four hundred".