121890000 has 200 divisors, whose sum is σ = 418366080. Its totient is φ = 30464000.

The previous prime is 121889939. The next prime is 121890011. The reversal of 121890000 is 98121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509881 + ... + 510119.

Almost surely, 2^121890000 is an apocalyptic number.

121890000 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 121890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209183040).

121890000 is an abundant number, since it is smaller than the sum of its proper divisors (296476080).

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

121890000 is a wasteful number, since it uses less digits than its factorization.

121890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 121890000 is about 11040.3804282280. The cubic root of 121890000 is about 495.8184602715.

The spelling of 121890000 in words is "one hundred twenty-one million, eight hundred ninety thousand".