121032000 has 252 divisors, whose sum is σ = 443768988. Its totient is φ = 31488000.

The previous prime is 121031983. The next prime is 121032001. The reversal of 121032000 is 230121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 102576384 + 18455616 = 10128^2 + 4296^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121032001) 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 35 ways as a sum of consecutive naturals, for example, 2951980 + ... + 2952020.

Almost surely, 2^121032000 is an apocalyptic number.

121032000 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 121032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221884494).

121032000 is an abundant number, since it is smaller than the sum of its proper divisors (322736988).

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

121032000 is an equidigital number, since it uses as much as digits as its factorization.

121032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 121032000 is about 11001.4544492990. The cubic root of 121032000 is about 494.6523423545.

Adding to 121032000 its reverse (230121), we get a palindrome (121262121).

The spelling of 121032000 in words is "one hundred twenty-one million, thirty-two thousand".