121822560 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 31426560.

The previous prime is 121822553. The next prime is 121822573. The reversal of 121822560 is 65228121.

It is a happy number.

121822560 is a `hidden beast` number, since 1 + 21 + 82 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121822560² = 29681472249907200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43276 + ... + 46004.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^121822560 is an apocalyptic number.

121822560 is a gapful number since it is divisible by the number (10) 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 121822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

121822560 is an abundant number, since it is smaller than the sum of its proper divisors (307464480).

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

121822560 is a wasteful number, since it uses less digits than its factorization.

121822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121822560 is about 11037.3257630642. The cubic root of 121822560 is about 495.7270003055.

The spelling of 121822560 in words is "one hundred twenty-one million, eight hundred twenty-two thousand, five hundred sixty".