132211322033120 has 192 divisors, whose sum is σ = 341883733734144. Its totient is φ = 47916263915520.

The previous prime is 132211322033107. The next prime is 132211322033183. The reversal of 132211322033120 is 21330223112231.

132211322033120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132211322033120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244370719 + ... + 1244476961.

It is an arithmetic number, because the mean of its divisors is an integer number (1780644446532).

Almost surely, 2^{132211322033120} is an apocalyptic number.

132211322033120 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 132211322033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170941866867072).

132211322033120 is an abundant number, since it is smaller than the sum of its proper divisors (209672411701024).

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

132211322033120 is a wasteful number, since it uses less digits than its factorization.

132211322033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108625 (or 108617 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 132211322033120 its reverse (21330223112231), we get a palindrome (153541545145351).

The spelling of 132211322033120 in words is "one hundred thirty-two trillion, two hundred eleven billion, three hundred twenty-two million, thirty-three thousand, one hundred twenty".