232123241000 has 192 divisors, whose sum is σ = 633768941520. Its totient is φ = 79343308800.

The previous prime is 232123240963. The next prime is 232123241047. The reversal of 232123241000 is 142321232.

It can be written as a sum of positive squares in 8 ways, for example, as 13434200836 + 218689040164 = 115906^2 + 467642^2 .

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 47 ways as a sum of consecutive naturals, for example, 16505972 + ... + 16520028.

Almost surely, 2^232123241000 is an apocalyptic number.

232123241000 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 232123241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316884470760).

232123241000 is an abundant number, since it is smaller than the sum of its proper divisors (401645700520).

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

232123241000 is a wasteful number, since it uses less digits than its factorization.

232123241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429 (or 14408 counting only the distinct ones).

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

Adding to 232123241000 its reverse (142321232), we get a palindrome (232265562232).

The spelling of 232123241000 in words is "two hundred thirty-two billion, one hundred twenty-three million, two hundred forty-one thousand".