22014126720 has 576 divisors, whose sum is σ = 81294169320. Its totient is φ = 5485363200.

The previous prime is 22014126707. The next prime is 22014126773. The reversal of 22014126720 is 2762141022.

22014126720 is a `hidden beast` number, since 220 + 1 + 412 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11319257664 + 10694869056 = 106392^2 + 103416^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 226949712 + ... + 226949808.

Almost surely, 2^22014126720 is an apocalyptic number.

22014126720 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 22014126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40647084660).

22014126720 is an abundant number, since it is smaller than the sum of its proper divisors (59280042600).

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

22014126720 is a wasteful number, since it uses less digits than its factorization.

22014126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 22014126720 its reverse (2762141022), we get a palindrome (24776267742).

The spelling of 22014126720 in words is "twenty-two billion, fourteen million, one hundred twenty-six thousand, seven hundred twenty".