121009000 has 128 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 40646400.

The previous prime is 121008991. The next prime is 121009001. The reversal of 121009000 is 900121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121009001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412854 + ... + 413146.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^121009000 is an apocalyptic number.

121009000 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 121009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

121009000 is an abundant number, since it is smaller than the sum of its proper divisors (209211800).

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

121009000 is a wasteful number, since it uses less digits than its factorization.

121009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 121009000 is about 11000.4090833023. The cubic root of 121009000 is about 494.6210070476.

Adding to 121009000 its reverse (900121), we get a palindrome (121909121).

The spelling of 121009000 in words is "one hundred twenty-one million, nine thousand".