232000042120 has 384 divisors, whose sum is σ = 668098368000. Its totient is φ = 70963200000.

The previous prime is 232000042111. The next prime is 232000042147. The reversal of 232000042120 is 21240000232.

It is a junction number, because it is equal to n+sod(n) for n = 232000042094 and 232000042103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516703656 + ... + 516704104.

It is an arithmetic number, because the mean of its divisors is an integer number (1739839500).

Almost surely, 2^232000042120 is an apocalyptic number.

232000042120 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 232000042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334049184000).

232000042120 is an abundant number, since it is smaller than the sum of its proper divisors (436098325880).

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

232000042120 is a wasteful number, since it uses less digits than its factorization.

232000042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 232000042120 its reverse (21240000232), we get a palindrome (253240042352).

The spelling of 232000042120 in words is "two hundred thirty-two billion, forty-two thousand, one hundred twenty".