121264 has 40 divisors (see below), whose sum is σ = 281232. Its totient is φ = 49920.

The previous prime is 121259. The next prime is 121267. The reversal of 121264 is 462121.

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 a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121267) by changing a digit.

121264 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, 2262 + ... + 2314.

2¹²¹²⁶⁴ 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 121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

121264 is an abundant number, since it is smaller than the sum of its proper divisors (159968).

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

121264 is a wasteful number, since it uses less digits than its factorization.

121264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 121264 is about 348.2298091778. The cubic root of 121264 is about 49.4968198481.

Adding to 121264 its reverse (462121), we get a palindrome (583385).

The spelling of 121264 in words is "one hundred twenty-one thousand, two hundred sixty-four".