121535000 has 80 divisors (see below), whose sum is σ = 288657600. Its totient is φ = 47952000.

The previous prime is 121534981. The next prime is 121535009. The reversal of 121535000 is 535121.

It is a self number, because there is not a number n which added to its sum of digits gives 121535000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121535009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 544889 + ... + 545111.

It is an arithmetic number, because the mean of its divisors is an integer number (3608220).

Almost surely, 2^121535000 is an apocalyptic number.

121535000 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 121535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144328800).

121535000 is an abundant number, since it is smaller than the sum of its proper divisors (167122600).

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

121535000 is a wasteful number, since it uses less digits than its factorization.

121535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 121535000 is about 11024.2913604458. The cubic root of 121535000 is about 495.3366413912.

The spelling of 121535000 in words is "one hundred twenty-one million, five hundred thirty-five thousand".