22121200011220 has 48 divisors (see below), whose sum is σ = 47230619920848. Its totient is φ = 8701370818560.

The previous prime is 22121200011217. The next prime is 22121200011233. The reversal of 22121200011220 is 2211000212122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 488989721284 + 21632210289936 = 699278^2 + 4651044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22121200011194 and 22121200011203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21987961 + ... + 22972000.

It is an arithmetic number, because the mean of its divisors is an integer number (983971248351).

Almost surely, 2^{22121200011220} is an apocalyptic number.

22121200011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121200011220 is an abundant number, since it is smaller than the sum of its proper divisors (25109419909628).

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

22121200011220 is a wasteful number, since it uses less digits than its factorization.

22121200011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44960380 (or 44960378 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121200011220 its reverse (2211000212122), we get a palindrome (24332200223342).

The spelling of 22121200011220 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred million, eleven thousand, two hundred twenty".