121088000 has 192 divisors, whose sum is σ = 337296960. Its totient is φ = 43008000.

The previous prime is 121087999. The next prime is 121088029. The reversal of 121088000 is 880121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815979 + ... + 2816021.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^121088000 is an apocalyptic number.

121088000 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 121088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

121088000 is an abundant number, since it is smaller than the sum of its proper divisors (216208960).

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

121088000 is an equidigital number, since it uses as much as digits as its factorization.

121088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 121088000 is about 11003.9992729916. Note that the first 3 decimals coincide. The cubic root of 121088000 is about 494.7286204188.

121088000 divided by its product of nonzero digits (128) gives a triangular number (946000 = T₁₃₇₅).

The spelling of 121088000 in words is "one hundred twenty-one million, eighty-eight thousand".