1322132033120 has 384 divisors, whose sum is σ = 3480265958400. Its totient is φ = 472388640768.

The previous prime is 1322132033111. The next prime is 1322132033153. The reversal of 1322132033120 is 213302312231.

It is a super-3 number, since 3×1322132033120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 2156821934 + ... + 2156822546.

It is an arithmetic number, because the mean of its divisors is an integer number (9063192600).

Almost surely, 2^{1322132033120} is an apocalyptic number.

1322132033120 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 1322132033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740132979200).

1322132033120 is an abundant number, since it is smaller than the sum of its proper divisors (2158133925280).

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

1322132033120 is a wasteful number, since it uses less digits than its factorization.

1322132033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1322132033120 its reverse (213302312231), we get a palindrome (1535434345351).

The spelling of 1322132033120 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, thirty-three thousand, one hundred twenty".