12221011222020 has 384 divisors, whose sum is σ = 41000176788480. Its totient is φ = 3011017605120.

The previous prime is 12221011221971. The next prime is 12221011222027. The reversal of 12221011222020 is 2022211012221.

It is a happy number.

12221011222020 is a `hidden beast` number, since 122 + 210 + 112 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221011221984 and 12221011222002.

It is not an unprimeable number, because it can be changed into a prime (12221011222027) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 151824504 + ... + 151904976.

It is an arithmetic number, because the mean of its divisors is an integer number (106771293720).

Almost surely, 2^{12221011222020} is an apocalyptic number.

12221011222020 is a gapful number since it is divisible by the number (10) 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 12221011222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500088394240).

12221011222020 is an abundant number, since it is smaller than the sum of its proper divisors (28779165566460).

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

12221011222020 is a wasteful number, since it uses less digits than its factorization.

12221011222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80812 (or 80804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221011222020 its reverse (2022211012221), we get a palindrome (14243222234241).

The spelling of 12221011222020 in words is "twelve trillion, two hundred twenty-one billion, eleven million, two hundred twenty-two thousand, twenty".