13411212400 has 120 divisors (see below), whose sum is σ = 34233433920. Its totient is φ = 5039354880.

The previous prime is 13411212391. The next prime is 13411212403. The reversal of 13411212400 is 421211431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411212403) 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, 413577 + ... + 444823.

It is an arithmetic number, because the mean of its divisors is an integer number (285278616).

Almost surely, 2^13411212400 is an apocalyptic number.

13411212400 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 13411212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116716960).

13411212400 is an abundant number, since it is smaller than the sum of its proper divisors (20822221520).

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

13411212400 is a wasteful number, since it uses less digits than its factorization.

13411212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31331 (or 31320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13411212400 its reverse (421211431), we get a palindrome (13832423831).

The spelling of 13411212400 in words is "thirteen billion, four hundred eleven million, two hundred twelve thousand, four hundred".