232321241000 has 128 divisors (see below), whose sum is σ = 547448522400. Its totient is φ = 92277964800.

The previous prime is 232321240997. The next prime is 232321241023. The reversal of 232321241000 is 142123232.

It can be written as a sum of positive squares in 16 ways, for example, as 42240936676 + 190080304324 = 205526^2 + 435982^2 .

It is a super-3 number, since 3×232321241000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194736404 + ... + 194737596.

Almost surely, 2^232321241000 is an apocalyptic number.

232321241000 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 232321241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273724261200).

232321241000 is an abundant number, since it is smaller than the sum of its proper divisors (315127281400).

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

232321241000 is a wasteful number, since it uses less digits than its factorization.

232321241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232321241000 its reverse (142123232), we get a palindrome (232463364232).

The spelling of 232321241000 in words is "two hundred thirty-two billion, three hundred twenty-one million, two hundred forty-one thousand".