11214412343200 has 144 divisors (see below), whose sum is σ = 29868110506080. Its totient is φ = 4077682560000.

The previous prime is 11214412343177. The next prime is 11214412343203. The reversal of 11214412343200 is 234321441211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11214412343203) 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, 157053106 + ... + 157124494.

It is an arithmetic number, because the mean of its divisors is an integer number (207417434070).

Almost surely, 2^{11214412343200} is an apocalyptic number.

11214412343200 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 11214412343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934055253040).

11214412343200 is an abundant number, since it is smaller than the sum of its proper divisors (18653698162880).

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

11214412343200 is a wasteful number, since it uses less digits than its factorization.

11214412343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89271 (or 89258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11214412343200 its reverse (234321441211), we get a palindrome (11448733784411).

The spelling of 11214412343200 in words is "eleven trillion, two hundred fourteen billion, four hundred twelve million, three hundred forty-three thousand, two hundred".