22011021122120 has 128 divisors (see below), whose sum is σ = 53858949636960. Its totient is φ = 8061990912000.

The previous prime is 22011021122059. The next prime is 22011021122173. The reversal of 22011021122120 is 2122112011022.

It can be written as a sum of positive squares in 16 ways, for example, as 7883841921124 + 14127179200996 = 2807818^2 + 3758614^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 31 ways as a sum of consecutive naturals, for example, 637964870 + ... + 637999370.

Almost surely, 2^{22011021122120} is an apocalyptic number.

22011021122120 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 22011021122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929474818480).

22011021122120 is an abundant number, since it is smaller than the sum of its proper divisors (31847928514840).

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

22011021122120 is a wasteful number, since it uses less digits than its factorization.

22011021122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59923 (or 59919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22011021122120 its reverse (2122112011022), we get a palindrome (24133133133142).

The spelling of 22011021122120 in words is "twenty-two trillion, eleven billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".