22121121101220 has 144 divisors (see below), whose sum is σ = 67918776149952. Its totient is φ = 5827069935360.

The previous prime is 22121121101201. The next prime is 22121121101249. The reversal of 22121121101220 is 2210112112122.

22121121101220 is a `hidden beast` number, since 2 + 21 + 211 + 211 + 0 + 1 + 220 = 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 = 22121121101193 and 22121121101202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109424154 + ... + 109626126.

It is an arithmetic number, because the mean of its divisors is an integer number (471658167708).

Almost surely, 2^{22121121101220} is an apocalyptic number.

22121121101220 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 22121121101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33959388074976).

22121121101220 is an abundant number, since it is smaller than the sum of its proper divisors (45797655048732).

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

22121121101220 is a wasteful number, since it uses less digits than its factorization.

22121121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209402 (or 209397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22121121101220 its reverse (2210112112122), we get a palindrome (24331233213342).

The spelling of 22121121101220 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".