121820544 has 128 divisors (see below), whose sum is σ = 364140000. Its totient is φ = 40089600.

The previous prime is 121820527. The next prime is 121820549. The reversal of 121820544 is 445028121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121820549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348882 + ... + 349230.

Almost surely, 2^121820544 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 121820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182070000).

121820544 is an abundant number, since it is smaller than the sum of its proper divisors (242319456).

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

121820544 is a wasteful number, since it uses less digits than its factorization.

121820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 121820544 is about 11037.2344362163. The cubic root of 121820544 is about 495.7242657514.

Adding to 121820544 its reverse (445028121), we get a palindrome (566848665).

The spelling of 121820544 in words is "one hundred twenty-one million, eight hundred twenty thousand, five hundred forty-four".