114303213200 has 120 divisors (see below), whose sum is σ = 305231374656. Its totient is φ = 40780480000.

The previous prime is 114303213179. The next prime is 114303213217. The reversal of 114303213200 is 2312303411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11876 + ... + 478275.

Almost surely, 2^114303213200 is an apocalyptic number.

114303213200 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 114303213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615687328).

114303213200 is an abundant number, since it is smaller than the sum of its proper divisors (190928161456).

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

114303213200 is a wasteful number, since it uses less digits than its factorization.

114303213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490233 (or 490222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 114303213200 its reverse (2312303411), we get a palindrome (116615516611).

The spelling of 114303213200 in words is "one hundred fourteen billion, three hundred three million, two hundred thirteen thousand, two hundred".