1332120220032 has 192 divisors, whose sum is σ = 4267980288000. Its totient is φ = 360573631488.

The previous prime is 1332120220003. The next prime is 1332120220033. The reversal of 1332120220032 is 2300220212331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1332120219990 and 1332120220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332120220033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283969 + ... + 1656767.

It is an arithmetic number, because the mean of its divisors is an integer number (22229064000).

Almost surely, 2^{1332120220032} is an apocalyptic number.

1332120220032 is a gapful number since it is divisible by the number (12) 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 1332120220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133990144000).

1332120220032 is an abundant number, since it is smaller than the sum of its proper divisors (2935860067968).

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

1332120220032 is a wasteful number, since it uses less digits than its factorization.

1332120220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372861 (or 1372830 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1332120220032 its reverse (2300220212331), we get a palindrome (3632340432363).

The spelling of 1332120220032 in words is "one trillion, three hundred thirty-two billion, one hundred twenty million, two hundred twenty thousand, thirty-two".