352122123133 has 32 divisors (see below), whose sum is σ = 404001457920. Its totient is φ = 303944256000.

The previous prime is 352122123109. The next prime is 352122123151. The reversal of 352122123133 is 331321221253.

It is not a de Polignac number, because 352122123133 - 2³³ = 343532188541 is a prime.

It is a super-2 number, since 2×352122123133² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352122123103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972073 + ... + 9011233.

It is an arithmetic number, because the mean of its divisors is an integer number (12625045560).

Almost surely, 2^352122123133 is an apocalyptic number.

It is an amenable number.

352122123133 is a deficient number, since it is larger than the sum of its proper divisors (51879334787).

352122123133 is a wasteful number, since it uses less digits than its factorization.

352122123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39669.

The product of its digits is 6480, while the sum is 28.

Adding to 352122123133 its reverse (331321221253), we get a palindrome (683443344386).

The spelling of 352122123133 in words is "three hundred fifty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-three".