121536 has 42 divisors (see below), whose sum is σ = 350012. Its totient is φ = 40320.

The previous prime is 121531. The next prime is 121547. The reversal of 121536 is 635121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 471 + ... + 681.

121536 is a Friedman number, since it can be written as 6^2*(15^3+1), using all its digits and the basic arithmetic operations.

2¹²¹⁵³⁶ is an apocalyptic number.

121536 is a gapful number since it is divisible by the number (16) 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 121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175006).

121536 is an abundant number, since it is smaller than the sum of its proper divisors (228476).

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

121536 is a wasteful number, since it uses less digits than its factorization.

121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 121536 is about 348.6201371120. The cubic root of 121536 is about 49.5337999944.

Adding to 121536 its reverse (635121), we get a palindrome (756657).

The spelling of 121536 in words is "one hundred twenty-one thousand, five hundred thirty-six".