122020353 has 48 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 64029312.

The previous prime is 122020351. The next prime is 122020357. The reversal of 122020353 is 353020221.

It is not a de Polignac number, because 122020353 - 2¹ = 122020351 is a prime.

It is a super-3 number, since 3×122020353³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122020351) 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 47 ways as a sum of consecutive naturals, for example, 313483 + ... + 313871.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2^122020353 is an apocalyptic number.

122020353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122020353 is a deficient number, since it is larger than the sum of its proper divisors (96030207).

122020353 is a wasteful number, since it uses less digits than its factorization.

122020353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 122020353 is about 11046.2823157839. The cubic root of 122020353 is about 495.9951452547.

Adding to 122020353 its reverse (353020221), we get a palindrome (475040574).

The spelling of 122020353 in words is "one hundred twenty-two million, twenty thousand, three hundred fifty-three".