132024212101320 has 768 divisors, whose sum is σ = 524531470417920. Its totient is φ = 25970268487680.

The previous prime is 132024212101291. The next prime is 132024212101321. The reversal of 132024212101320 is 23101212420231.

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

It is not an unprimeable number, because it can be changed into a prime (132024212101321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226467729 + ... + 227049951.

It is an arithmetic number, because the mean of its divisors is an integer number (682983685440).

Almost surely, 2^{132024212101320} is an apocalyptic number.

132024212101320 is a gapful number since it is divisible by the number (10) 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 132024212101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262265735208960).

132024212101320 is an abundant number, since it is smaller than the sum of its proper divisors (392507258316600).

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

132024212101320 is a wasteful number, since it uses less digits than its factorization.

132024212101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582386 (or 582371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132024212101320 its reverse (23101212420231), we get a palindrome (155125424521551).

The spelling of 132024212101320 in words is "one hundred thirty-two trillion, twenty-four billion, two hundred twelve million, one hundred one thousand, three hundred twenty".