22106478241200 has 240 divisors, whose sum is σ = 74560081420800. Its totient is φ = 5583401856000.

The previous prime is 22106478241193. The next prime is 22106478241213. The reversal of 22106478241200 is 214287460122.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 92882350 + ... + 93120050.

It is an arithmetic number, because the mean of its divisors is an integer number (310667005920).

Almost surely, 2^{22106478241200} is an apocalyptic number.

22106478241200 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 22106478241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37280040710400).

22106478241200 is an abundant number, since it is smaller than the sum of its proper divisors (52453603179600).

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

22106478241200 is a wasteful number, since it uses less digits than its factorization.

22106478241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241820 (or 241809 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 22106478241200 in words is "twenty-two trillion, one hundred six billion, four hundred seventy-eight million, two hundred forty-one thousand, two hundred".