121564344 has 96 divisors (see below), whose sum is σ = 342533520. Its totient is φ = 35904000.

The previous prime is 121564291. The next prime is 121564349. The reversal of 121564344 is 443465121.

121564344 = 380² + 381² + ... + 748².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121564349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118554 + ... + 119574.

Almost surely, 2^121564344 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 121564344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171266760).

121564344 is an abundant number, since it is smaller than the sum of its proper divisors (220969176).

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

121564344 is a wasteful number, since it uses less digits than its factorization.

121564344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 121564344 is about 11025.6221593160. The cubic root of 121564344 is about 495.3765036771.

It can be divided in two parts, 121 and 564344, that added together give a palindrome (564465).

The spelling of 121564344 in words is "one hundred twenty-one million, five hundred sixty-four thousand, three hundred forty-four".