352010045225124 has 384 divisors, whose sum is σ = 1110853829836800. Its totient is φ = 94922009602560.

The previous prime is 352010045225119. The next prime is 352010045225131. The reversal of 352010045225124 is 421522540010253.

352010045225124 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 1 + 0 + 0 + 4 + 522 + 5 + 124 = 666.

It is a super-2 number, since 2×352010045225124² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 289168389 + ... + 290383155.

It is an arithmetic number, because the mean of its divisors is an integer number (2892848515200).

Almost surely, 2^{352010045225124} 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 352010045225124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555426914918400).

352010045225124 is an abundant number, since it is smaller than the sum of its proper divisors (758843784611676).

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

352010045225124 is a wasteful number, since it uses less digits than its factorization.

352010045225124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215480 (or 1215472 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 352010045225124 its reverse (421522540010253), we get a palindrome (773532585235377).

The spelling of 352010045225124 in words is "three hundred fifty-two trillion, ten billion, forty-five million, two hundred twenty-five thousand, one hundred twenty-four".