121628000 has 96 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 44889600.

The previous prime is 121627999. The next prime is 121628029. The reversal of 121628000 is 826121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50831 + ... + 53169.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^121628000 is an apocalyptic number.

121628000 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 121628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

121628000 is an abundant number, since it is smaller than the sum of its proper divisors (200337280).

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

121628000 is a wasteful number, since it uses less digits than its factorization.

121628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 121628000 is about 11028.5085120337. The cubic root of 121628000 is about 495.4629549702.

The spelling of 121628000 in words is "one hundred twenty-one million, six hundred twenty-eight thousand".