114012320083200 has 5184 divisors, whose sum is σ = 543992815564800. Its totient is φ = 23146452172800.

The previous prime is 114012320083199. The next prime is 114012320083243. The reversal of 114012320083200 is 2380023210411.

114012320083200 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 12 + 320 + 0 + 8 + 320 + 0 = 666.

114012320083200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 699462086319 + ... + 699462086481.

Almost surely, 2^{114012320083200} is an apocalyptic number.

114012320083200 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 114012320083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271996407782400).

114012320083200 is an abundant number, since it is smaller than the sum of its proper divisors (429980495481600).

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

114012320083200 is an equidigital number, since it uses as much as digits as its factorization.

114012320083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114012320083200 its reverse (2380023210411), we get a palindrome (116392343293611).

The spelling of 114012320083200 in words is "one hundred fourteen trillion, twelve billion, three hundred twenty million, eighty-three thousand, two hundred".