121933000 has 64 divisors (see below), whose sum is σ = 326102400. Its totient is φ = 41803200.

The previous prime is 121932983. The next prime is 121933001. The reversal of 121933000 is 339121.

It is not an unprimeable number, because it can be changed into a prime (121933001) by changing a digit.

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, 1710 + ... + 15709.

It is an arithmetic number, because the mean of its divisors is an integer number (5095350).

Almost surely, 2^121933000 is an apocalyptic number.

121933000 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 121933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163051200).

121933000 is an abundant number, since it is smaller than the sum of its proper divisors (204169400).

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

121933000 is a wasteful number, since it uses less digits than its factorization.

121933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17447 (or 17433 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 121933000 is about 11042.3276531717. The cubic root of 121933000 is about 495.8767578819.

The spelling of 121933000 in words is "one hundred twenty-one million, nine hundred thirty-three thousand".