350405023122 has 288 divisors, whose sum is σ = 1006659763200. Its totient is φ = 85988485440.

The previous prime is 350405023121. The next prime is 350405023123. The reversal of 350405023122 is 221320504053.

It is a happy number.

350405023122 is a `hidden beast` number, since 3 + 5 + 0 + 405 + 0 + 231 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (350405023121) and next prime (350405023123).

It is not an unprimeable number, because it can be changed into a prime (350405023121) 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 143 ways as a sum of consecutive naturals, for example, 121371963 + ... + 121374849.

It is an arithmetic number, because the mean of its divisors is an integer number (3495346400).

Almost surely, 2^350405023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350405023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503329881600).

350405023122 is an abundant number, since it is smaller than the sum of its proper divisors (656254740078).

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

350405023122 is a wasteful number, since it uses less digits than its factorization.

350405023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 350405023122 its reverse (221320504053), we get a palindrome (571725527175).

The spelling of 350405023122 in words is "three hundred fifty billion, four hundred five million, twenty-three thousand, one hundred twenty-two".