230120122000 has 80 divisors (see below), whose sum is σ = 556584912000. Its totient is φ = 92022499200.

The previous prime is 230120121991. The next prime is 230120122003. The reversal of 230120122000 is 221021032.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (230120122003) 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 15 ways as a sum of consecutive naturals, for example, 8264101 + ... + 8291899.

It is an arithmetic number, because the mean of its divisors is an integer number (6957311400).

Almost surely, 2^230120122000 is an apocalyptic number.

230120122000 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 230120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278292456000).

230120122000 is an abundant number, since it is smaller than the sum of its proper divisors (326464790000).

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

230120122000 is a wasteful number, since it uses less digits than its factorization.

230120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31961 (or 31945 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 230120122000 its reverse (221021032), we get a palindrome (230341143032).

The spelling of 230120122000 in words is "two hundred thirty billion, one hundred twenty million, one hundred twenty-two thousand".