121024800 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 29721600.

The previous prime is 121024789. The next prime is 121024829. The reversal of 121024800 is 8420121.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280585 + ... + 281015.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^121024800 is an apocalyptic number.

121024800 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 121024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

121024800 is an abundant number, since it is smaller than the sum of its proper divisors (351444960).

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

121024800 is a wasteful number, since it uses less digits than its factorization.

121024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121024800 is about 11001.1272149721. The cubic root of 121024800 is about 494.6425334679.

Adding to 121024800 its reverse (8420121), we get a palindrome (129444921).

The spelling of 121024800 in words is "one hundred twenty-one million, twenty-four thousand, eight hundred".