121248000 has 216 divisors, whose sum is σ = 437321976. Its totient is φ = 32256000.

The previous prime is 121247969. The next prime is 121248007. The reversal of 121248000 is 842121.

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 85821696 = 5952^2 + 9264^2 .

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (121248007) 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, 287790 + ... + 288210.

Almost surely, 2^121248000 is an apocalyptic number.

121248000 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 121248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218660988).

121248000 is an abundant number, since it is smaller than the sum of its proper divisors (316073976).

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

121248000 is an equidigital number, since it uses as much as digits as its factorization.

121248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

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

The square root of 121248000 is about 11011.2669570763. The cubic root of 121248000 is about 494.9464282397.

The spelling of 121248000 in words is "one hundred twenty-one million, two hundred forty-eight thousand".