234132010000 has 200 divisors, whose sum is σ = 650196670464. Its totient is φ = 79981440000.

The previous prime is 234132009893. The next prime is 234132010001. The reversal of 234132010000 is 10231432.

It is a happy number.

234132010000 is digitally balanced in base 3, 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 (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (234132010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19664049 + ... + 19675951.

Almost surely, 2^234132010000 is an apocalyptic number.

234132010000 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 234132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325098335232).

234132010000 is an abundant number, since it is smaller than the sum of its proper divisors (416064660464).

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

234132010000 is a wasteful number, since it uses less digits than its factorization.

234132010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 234132010000 its reverse (10231432), we get a palindrome (234142241432).

The spelling of 234132010000 in words is "two hundred thirty-four billion, one hundred thirty-two million, ten thousand".