121232000 has 64 divisors (see below), whose sum is σ = 301452840. Its totient is φ = 48486400.

The previous prime is 121231993. The next prime is 121232009. The reversal of 121232000 is 232121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5798464 + 115433536 = 2408^2 + 10744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (121232009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12212 + ... + 19788.

Almost surely, 2^121232000 is an apocalyptic number.

121232000 is a gapful number since it is divisible by the number (10) 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 121232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150726420).

121232000 is an abundant number, since it is smaller than the sum of its proper divisors (180220840).

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

121232000 is an frugal number, since it uses more digits than its factorization.

121232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7584 counting only the distinct ones).

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

The square root of 121232000 is about 11010.5404045396. The cubic root of 121232000 is about 494.9246560834.

Adding to 121232000 its reverse (232121), we get a palindrome (121464121).

The spelling of 121232000 in words is "one hundred twenty-one million, two hundred thirty-two thousand".