22204004214120 has 256 divisors, whose sum is σ = 68551287552000. Its totient is φ = 5751759283200.

The previous prime is 22204004214089. The next prime is 22204004214131. The reversal of 22204004214120 is 2141240040222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166166935 + ... + 166300505.

It is an arithmetic number, because the mean of its divisors is an integer number (267778467000).

Almost surely, 2^{22204004214120} is an apocalyptic number.

22204004214120 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 22204004214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34275643776000).

22204004214120 is an abundant number, since it is smaller than the sum of its proper divisors (46347283337880).

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

22204004214120 is a wasteful number, since it uses less digits than its factorization.

22204004214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133944 (or 133940 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22204004214120 its reverse (2141240040222), we get a palindrome (24345244254342).

The spelling of 22204004214120 in words is "twenty-two trillion, two hundred four billion, four million, two hundred fourteen thousand, one hundred twenty".