3201152123232 has 288 divisors, whose sum is σ = 10796018688000. Its totient is φ = 899111308032.

The previous prime is 3201152123201. The next prime is 3201152123249. The reversal of 3201152123232 is 2323212511023.

3201152123232 is a `hidden beast` number, since 3 + 201 + 15 + 212 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3201152123196 and 3201152123205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553633 + ... + 6102879.

It is an arithmetic number, because the mean of its divisors is an integer number (37486176000).

Almost surely, 2^{3201152123232} is an apocalyptic number.

3201152123232 is a gapful number since it is divisible by the number (32) 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 3201152123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398009344000).

3201152123232 is an abundant number, since it is smaller than the sum of its proper divisors (7594866564768).

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

3201152123232 is a wasteful number, since it uses less digits than its factorization.

3201152123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549343 (or 549318 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3201152123232 its reverse (2323212511023), we get a palindrome (5524364634255).

The spelling of 3201152123232 in words is "three trillion, two hundred one billion, one hundred fifty-two million, one hundred twenty-three thousand, two hundred thirty-two".