121824000 has 360 divisors, whose sum is σ = 462990528. Its totient is φ = 31795200.

The previous prime is 121823981. The next prime is 121824007. The reversal of 121824000 is 428121.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (121824007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591977 + ... + 2592023.

Almost surely, 2^121824000 is an apocalyptic number.

121824000 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 121824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231495264).

121824000 is an abundant number, since it is smaller than the sum of its proper divisors (341166528).

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

121824000 is an frugal number, since it uses more digits than its factorization.

121824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

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

The square root of 121824000 is about 11037.3909960642. The cubic root of 121824000 is about 495.7289535399.

The spelling of 121824000 in words is "one hundred twenty-one million, eight hundred twenty-four thousand".