2232100332000 has 1728 divisors, whose sum is σ = 10327818271680. Its totient is φ = 451132416000.

The previous prime is 2232100331999. The next prime is 2232100332001. The reversal of 2232100332000 is 2330012322.

It is a happy number.

2232100332000 is a `hidden beast` number, since 2 + 232 + 100 + 332 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2232100331999) and next prime (2232100332001).

It is a super-3 number, since 3×2232100332000³ (a number of 38 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232100332001) 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 287 ways as a sum of consecutive naturals, for example, 717946446 + ... + 717949554.

It is an arithmetic number, because the mean of its divisors is an integer number (5976746685).

Almost surely, 2^{2232100332000} is an apocalyptic number.

2232100332000 is a gapful number since it is divisible by the number (20) 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 2232100332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163909135840).

2232100332000 is an abundant number, since it is smaller than the sum of its proper divisors (8095717939680).

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

2232100332000 is a wasteful number, since it uses less digits than its factorization.

2232100332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2232100332000 its reverse (2330012322), we get a palindrome (2234430344322).

The spelling of 2232100332000 in words is "two trillion, two hundred thirty-two billion, one hundred million, three hundred thirty-two thousand".