22120221012120 has 576 divisors, whose sum is σ = 94173467581440. Its totient is φ = 4448137075200.

The previous prime is 22120221012103. The next prime is 22120221012139. The reversal of 22120221012120 is 2121012202122.

It is a happy number.

22120221012120 is a `hidden beast` number, since 221 + 20 + 2 + 210 + 1 + 212 + 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 = 22120221012093 and 22120221012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4176559 + ... + 7853921.

It is an arithmetic number, because the mean of its divisors is an integer number (163495603440).

Almost surely, 2^{22120221012120} is an apocalyptic number.

22120221012120 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 22120221012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47086733790720).

22120221012120 is an abundant number, since it is smaller than the sum of its proper divisors (72053246569320).

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

22120221012120 is a wasteful number, since it uses less digits than its factorization.

22120221012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677436 (or 3677422 counting only the distinct ones).

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

Adding to 22120221012120 its reverse (2121012202122), we get a palindrome (24241233214242).

The spelling of 22120221012120 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, twelve thousand, one hundred twenty".