234202123000 has 128 divisors (see below), whose sum is σ = 585162040320. Its totient is φ = 87523497600.

The previous prime is 234202122929. The next prime is 234202123027. The reversal of 234202123000 is 321202432.

234202123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870597 + ... + 1107403.

It is an arithmetic number, because the mean of its divisors is an integer number (4571578440).

Almost surely, 2^234202123000 is an apocalyptic number.

234202123000 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 234202123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292581020160).

234202123000 is an abundant number, since it is smaller than the sum of its proper divisors (350959917320).

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

234202123000 is a wasteful number, since it uses less digits than its factorization.

234202123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236894 (or 236880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 234202123000 its reverse (321202432), we get a palindrome (234523325432).

The spelling of 234202123000 in words is "two hundred thirty-four billion, two hundred two million, one hundred twenty-three thousand".