11822161920 has 448 divisors, whose sum is σ = 40766146560. Its totient is φ = 2918187008.

The previous prime is 11822161907. The next prime is 11822161937. The reversal of 11822161920 is 2916122811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132833236 + ... + 132833324.

Almost surely, 2^11822161920 is an apocalyptic number.

11822161920 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 11822161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383073280).

11822161920 is an abundant number, since it is smaller than the sum of its proper divisors (28943984640).

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

11822161920 is an equidigital number, since it uses as much as digits as its factorization.

11822161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11822161920 in words is "eleven billion, eight hundred twenty-two million, one hundred sixty-one thousand, nine hundred twenty".