114001333200 has 120 divisors (see below), whose sum is σ = 405760339200. Its totient is φ = 30400352640.

The previous prime is 114001333111. The next prime is 114001333321. The reversal of 114001333200 is 2333100411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5267040 + ... + 5288639.

It is an arithmetic number, because the mean of its divisors is an integer number (3381336160).

Almost surely, 2^114001333200 is an apocalyptic number.

114001333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114001333200 is an abundant number, since it is smaller than the sum of its proper divisors (291759006000).

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

114001333200 is a wasteful number, since it uses less digits than its factorization.

114001333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555706 (or 10555689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 114001333200 its reverse (2333100411), we get a palindrome (116334433611).

The spelling of 114001333200 in words is "one hundred fourteen billion, one million, three hundred thirty-three thousand, two hundred".