11332012132320 has 384 divisors, whose sum is σ = 41339336048640. Its totient is φ = 2578798510080.

The previous prime is 11332012132297. The next prime is 11332012132339. The reversal of 11332012132320 is 2323121023311.

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

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, 34213266 + ... + 34542894.

It is an arithmetic number, because the mean of its divisors is an integer number (107654520960).

Almost surely, 2^{11332012132320} is an apocalyptic number.

11332012132320 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 11332012132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669668024320).

11332012132320 is an abundant number, since it is smaller than the sum of its proper divisors (30007323916320).

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

11332012132320 is a wasteful number, since it uses less digits than its factorization.

11332012132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330058 (or 330050 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11332012132320 its reverse (2323121023311), we get a palindrome (13655133155631).

The spelling of 11332012132320 in words is "eleven trillion, three hundred thirty-two billion, twelve million, one hundred thirty-two thousand, three hundred twenty".