113234341123200 has 384 divisors, whose sum is σ = 407680656768000. Its totient is φ = 27396162457600.

The previous prime is 113234341123157. The next prime is 113234341123213. The reversal of 113234341123200 is 2321143432311.

113234341123200 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52050901 + ... + 54182699.

It is an arithmetic number, because the mean of its divisors is an integer number (1061668377000).

Almost surely, 2^{113234341123200} is an apocalyptic number.

113234341123200 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 113234341123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203840328384000).

113234341123200 is an abundant number, since it is smaller than the sum of its proper divisors (294446315644800).

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

113234341123200 is a wasteful number, since it uses less digits than its factorization.

113234341123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132340 (or 2132323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 113234341123200 its reverse (2321143432311), we get a palindrome (115555484555511).

The spelling of 113234341123200 in words is "one hundred thirteen trillion, two hundred thirty-four billion, three hundred forty-one million, one hundred twenty-three thousand, two hundred".