11332231306920 has 384 divisors, whose sum is σ = 39532501008000. Its totient is φ = 2806742845440.

The previous prime is 11332231306919. The next prime is 11332231307029. The reversal of 11332231306920 is 2960313223311.

11332231306920 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 231 + 306 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128048446 + ... + 128136914.

It is an arithmetic number, because the mean of its divisors is an integer number (102949221375).

Almost surely, 2^{11332231306920} is an apocalyptic number.

11332231306920 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 11332231306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19766250504000).

11332231306920 is an abundant number, since it is smaller than the sum of its proper divisors (28200269701080).

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

11332231306920 is a wasteful number, since it uses less digits than its factorization.

11332231306920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88873 (or 88866 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 11332231306920 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty-one million, three hundred six thousand, nine hundred twenty".