22132922112000 has 3456 divisors, whose sum is σ = 98770576806720. Its totient is φ = 4927271731200.

The previous prime is 22132922111933. The next prime is 22132922112017. The reversal of 22132922112000 is 21122923122.

22132922112000 is a `hidden beast` number, since 2 + 213 + 29 + 221 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 161554175932 + ... + 161554176068.

Almost surely, 2^{22132922112000} is an apocalyptic number.

22132922112000 is a gapful number since it is divisible by the number (20) 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 22132922112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385288403360).

22132922112000 is an abundant number, since it is smaller than the sum of its proper divisors (76637654694720).

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

22132922112000 is an equidigital number, since it uses as much as digits as its factorization.

22132922112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22132922112000 in words is "twenty-two trillion, one hundred thirty-two billion, nine hundred twenty-two million, one hundred twelve thousand".