121332400 has 120 divisors (see below), whose sum is σ = 352879200. Its totient is φ = 39137280.

The previous prime is 121332389. The next prime is 121332401. The reversal of 121332400 is 4233121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121332401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46326 + ... + 48874.

It is an arithmetic number, because the mean of its divisors is an integer number (2940660).

Almost surely, 2^121332400 is an apocalyptic number.

121332400 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 121332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176439600).

121332400 is an abundant number, since it is smaller than the sum of its proper divisors (231546800).

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

121332400 is a wasteful number, since it uses less digits than its factorization.

121332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 121332400 is about 11015.0987285634. The cubic root of 121332400 is about 495.0612446753.

Adding to 121332400 its reverse (4233121), we get a palindrome (125565521).

The spelling of 121332400 in words is "one hundred twenty-one million, three hundred thirty-two thousand, four hundred".