201323132232000 has 448 divisors, whose sum is σ = 718669230639360. Its totient is φ = 49485966336000.

The previous prime is 201323132231987. The next prime is 201323132232017. The reversal of 201323132232000 is 232231323102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10905810 + ... + 22838190.

It is an arithmetic number, because the mean of its divisors is an integer number (1604172389820).

Almost surely, 2^{201323132232000} is an apocalyptic number.

201323132232000 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 201323132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359334615319680).

201323132232000 is an abundant number, since it is smaller than the sum of its proper divisors (517346098407360).

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

201323132232000 is a wasteful number, since it uses less digits than its factorization.

201323132232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932467 (or 11932447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201323132232000 its reverse (232231323102), we get a palindrome (201555363555102).

The spelling of 201323132232000 in words is "two hundred one trillion, three hundred twenty-three billion, one hundred thirty-two million, two hundred thirty-two thousand".