121368 has 32 divisors (see below), whose sum is σ = 327600. Its totient is φ = 37248.

The previous prime is 121367. The next prime is 121369. The reversal of 121368 is 863121.

It is an interprime number because it is at equal distance from previous prime (121367) and next prime (121369).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 506.

2¹²¹³⁶⁸ 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 121368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

121368 is an abundant number, since it is smaller than the sum of its proper divisors (206232).

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

121368 is a wasteful number, since it uses less digits than its factorization.

121368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 121368 is about 348.3791038510. The cubic root of 121368 is about 49.5109658391.

Adding to 121368 its reverse (863121), we get a palindrome (984489).

The spelling of 121368 in words is "one hundred twenty-one thousand, three hundred sixty-eight".