121432800 has 144 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 30666240.

The previous prime is 121432789. The next prime is 121432811. The reversal of 121432800 is 8234121.

It is an interprime number because it is at equal distance from previous prime (121432789) and next prime (121432811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44269 + ... + 46931.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2^121432800 is an apocalyptic number.

121432800 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 121432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

121432800 is an abundant number, since it is smaller than the sum of its proper divisors (294790560).

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

121432800 is a wasteful number, since it uses less digits than its factorization.

121432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121432800 is about 11019.6551670186. The cubic root of 121432800 is about 495.1977579384.

Adding to 121432800 its reverse (8234121), we get a palindrome (129666921).

The spelling of 121432800 in words is "one hundred twenty-one million, four hundred thirty-two thousand, eight hundred".