1332123223120 has 160 divisors (see below), whose sum is σ = 3287634577920. Its totient is φ = 501331783680.

The previous prime is 1332123223097. The next prime is 1332123223127. The reversal of 1332123223120 is 213223212331.

It is a super-3 number, since 3×1332123223120³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332123223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11082382 + ... + 11201938.

It is an arithmetic number, because the mean of its divisors is an integer number (20547716112).

Almost surely, 2^{1332123223120} is an apocalyptic number.

1332123223120 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 1332123223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643817288960).

1332123223120 is an abundant number, since it is smaller than the sum of its proper divisors (1955511354800).

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

1332123223120 is a wasteful number, since it uses less digits than its factorization.

1332123223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119733 (or 119727 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1332123223120 its reverse (213223212331), we get a palindrome (1545346435451).

The spelling of 1332123223120 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty".