332322330201000 has 512 divisors, whose sum is σ = 1057080709601280. Its totient is φ = 86907555840000.

The previous prime is 332322330200983. The next prime is 332322330201011. The reversal of 332322330201000 is 102033223233.

It is a super-3 number, since 3×332322330201000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81591534964 + ... + 81591539036.

It is an arithmetic number, because the mean of its divisors is an integer number (2064610760940).

Almost surely, 2^{332322330201000} is an apocalyptic number.

332322330201000 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 332322330201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528540354800640).

332322330201000 is an abundant number, since it is smaller than the sum of its proper divisors (724758379400280).

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

332322330201000 is a wasteful number, since it uses less digits than its factorization.

332322330201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332322330201000 its reverse (102033223233), we get a palindrome (332424363424233).

The spelling of 332322330201000 in words is "three hundred thirty-two trillion, three hundred twenty-two billion, three hundred thirty million, two hundred one thousand".