121576 has 32 divisors (see below), whose sum is σ = 282240. Its totient is φ = 47808.

The previous prime is 121571. The next prime is 121577. The reversal of 121576 is 675121.

It is a cake number, because a cake can be divided into 121576 parts by 90 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121571) by changing a digit.

121576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

121576 is a Friedman number, since it can be written as 2171*56, using all its digits and the basic arithmetic operations.

2¹²¹⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

121576 is an abundant number, since it is smaller than the sum of its proper divisors (160664).

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

121576 is a wasteful number, since it uses less digits than its factorization.

121576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 121576 is about 348.6775014250. The cubic root of 121576 is about 49.5392335962.

Adding to 121576 its reverse (675121), we get a palindrome (796697).

It can be divided in two parts, 121 and 576, that multiplied together give a palindrome (69696).

The spelling of 121576 in words is "one hundred twenty-one thousand, five hundred seventy-six".