121000 has 48 divisors (see below), whose sum is σ = 311220. Its totient is φ = 44000.

The previous prime is 120997. The next prime is 121001. The reversal of 121000 is 121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 39204 = 286^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (121001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10995 + ... + 11005.

2¹²¹⁰⁰⁰ is an apocalyptic number.

121000 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 121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155610).

121000 is an abundant number, since it is smaller than the sum of its proper divisors (190220).

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

121000 is a wasteful number, since it uses less digits than its factorization.

121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 121000 is about 347.8505426185. The cubic root of 121000 is about 49.4608744325.

Adding to 121000 its reverse (121), we get a palindrome (121121).

121000 divided by its reverse (121) gives a cube (1000 = 10³).

The spelling of 121000 in words is "one hundred twenty-one thousand", and thus it is an iban number.