234100244132200 has 192 divisors, whose sum is σ = 554782147920000. Its totient is φ = 91842828672000.

The previous prime is 234100244132149. The next prime is 234100244132201. The reversal of 234100244132200 is 2231442001432.

It is not an unprimeable number, because it can be changed into a prime (234100244132201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8768114451 + ... + 8768141149.

It is an arithmetic number, because the mean of its divisors is an integer number (2889490353750).

Almost surely, 2^{234100244132200} is an apocalyptic number.

234100244132200 is a gapful number since it is divisible by the number (20) 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 234100244132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277391073960000).

234100244132200 is an abundant number, since it is smaller than the sum of its proper divisors (320681903787800).

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

234100244132200 is a wasteful number, since it uses less digits than its factorization.

234100244132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28796 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 234100244132200 its reverse (2231442001432), we get a palindrome (236331686133632).

The spelling of 234100244132200 in words is "two hundred thirty-four trillion, one hundred billion, two hundred forty-four million, one hundred thirty-two thousand, two hundred".