121128000 has 336 divisors, whose sum is σ = 469782144. Its totient is φ = 27417600.

The previous prime is 121127999. The next prime is 121128017. The reversal of 121128000 is 821121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1175949 + ... + 1176051.

Almost surely, 2^121128000 is an apocalyptic number.

121128000 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 121128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234891072).

121128000 is an abundant number, since it is smaller than the sum of its proper divisors (348654144).

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

121128000 is a wasteful number, since it uses less digits than its factorization.

121128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 121128000 is about 11005.8166439388. The cubic root of 121128000 is about 494.7830903530.

Adding to 121128000 its reverse (821121), we get a palindrome (121949121).

The spelling of 121128000 in words is "one hundred twenty-one million, one hundred twenty-eight thousand".