121165000 has 80 divisors (see below), whose sum is σ = 309838320. Its totient is φ = 44040000.

The previous prime is 121164997. The next prime is 121165003. The reversal of 121165000 is 561121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121164997) and next prime (121165003).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (121165003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 53899 + ... + 56101.

It is an arithmetic number, because the mean of its divisors is an integer number (3872979).

Almost surely, 2^121165000 is an apocalyptic number.

121165000 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 121165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154919160).

121165000 is an abundant number, since it is smaller than the sum of its proper divisors (188673320).

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

121165000 is a wasteful number, since it uses less digits than its factorization.

121165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 121165000 is about 11007.4974449236. The cubic root of 121165000 is about 494.8334643668.

The spelling of 121165000 in words is "one hundred twenty-one million, one hundred sixty-five thousand".