232121000 has 64 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 91852800.

The previous prime is 232120957. The next prime is 232121011. The reversal of 232121000 is 121232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6340324 + 225780676 = 2518^2 + 15026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95804 + ... + 98196.

Almost surely, 2^232121000 is an apocalyptic number.

232121000 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 232121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

232121000 is an abundant number, since it is smaller than the sum of its proper divisors (316871080).

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

232121000 is a wasteful number, since it uses less digits than its factorization.

232121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 232121000 is about 15235.5177135534. The cubic root of 232121000 is about 614.5701713802.

Adding to 232121000 its reverse (121232), we get a palindrome (232242232).

The spelling of 232121000 in words is "two hundred thirty-two million, one hundred twenty-one thousand".