13412100 has 144 divisors (see below), whose sum is σ = 44233280. Its totient is φ = 3110400.

The previous prime is 13412051. The next prime is 13412107. The reversal of 13412100 is 121431.

It is a happy number.

13412100 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13412107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74010 + ... + 74190.

Almost surely, 2^13412100 is an apocalyptic number.

13412100 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 13412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116640).

13412100 is an abundant number, since it is smaller than the sum of its proper divisors (30821180).

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

13412100 is a wasteful number, since it uses less digits than its factorization.

13412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13412100 is about 3662.2534046677. The cubic root of 13412100 is about 237.5922448693.

Adding to 13412100 its reverse (121431), we get a palindrome (13533531).

The spelling of 13412100 in words is "thirteen million, four hundred twelve thousand, one hundred".