352212240000 has 320 divisors, whose sum is σ = 1171031400000. Its totient is φ = 93766656000.

The previous prime is 352212239993. The next prime is 352212240007. The reversal of 352212240000 is 42212253.

It is an interprime number because it is at equal distance from previous prime (352212239993) and next prime (352212240007).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (352212240007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 251759301 + ... + 251760699.

It is an arithmetic number, because the mean of its divisors is an integer number (3659473125).

Almost surely, 2^352212240000 is an apocalyptic number.

352212240000 is a gapful number since it is divisible by the number (30) 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 352212240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585515700000).

352212240000 is an abundant number, since it is smaller than the sum of its proper divisors (818819160000).

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

352212240000 is a wasteful number, since it uses less digits than its factorization.

352212240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 352212240000 its reverse (42212253), we get a palindrome (352254452253).

The spelling of 352212240000 in words is "three hundred fifty-two billion, two hundred twelve million, two hundred forty thousand".