114404211200 has 240 divisors, whose sum is σ = 294459010560. Its totient is φ = 43997184000.

The previous prime is 114404211179. The next prime is 114404211209. The reversal of 114404211200 is 2112404411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114404211209) 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, 115442705 + ... + 115443695.

It is an arithmetic number, because the mean of its divisors is an integer number (1226912544).

Almost surely, 2^114404211200 is an apocalyptic number.

114404211200 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 114404211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147229505280).

114404211200 is an abundant number, since it is smaller than the sum of its proper divisors (180054799360).

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

114404211200 is an equidigital number, since it uses as much as digits as its factorization.

114404211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114404211200 its reverse (2112404411), we get a palindrome (116516615611).

It can be divided in two parts, 114404211 and 200, that added together give a palindrome (114404411).

The spelling of 114404211200 in words is "one hundred fourteen billion, four hundred four million, two hundred eleven thousand, two hundred".