22011211012120 has 256 divisors, whose sum is σ = 61751194214400. Its totient is φ = 6957241589760.

The previous prime is 22011211012081. The next prime is 22011211012159. The reversal of 22011211012120 is 2121011211022.

It is an interprime number because it is at equal distance from previous prime (22011211012081) and next prime (22011211012159).

It is a junction number, because it is equal to n+sod(n) for n = 22011211012094 and 22011211012103.

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 63 ways as a sum of consecutive naturals, for example, 2783257 + ... + 7195063.

It is an arithmetic number, because the mean of its divisors is an integer number (241215602400).

Almost surely, 2^{22011211012120} is an apocalyptic number.

22011211012120 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 22011211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30875597107200).

22011211012120 is an abundant number, since it is smaller than the sum of its proper divisors (39739983202280).

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

22011211012120 is a wasteful number, since it uses less digits than its factorization.

22011211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411898 (or 4411894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011211012120 its reverse (2121011211022), we get a palindrome (24132222223142).

The spelling of 22011211012120 in words is "twenty-two trillion, eleven billion, two hundred eleven million, twelve thousand, one hundred twenty".