11221223011020 has 240 divisors, whose sum is σ = 38417285491200. Its totient is φ = 2719179607680.

The previous prime is 11221223011007. The next prime is 11221223011091. The reversal of 11221223011020 is 2011032212211.

11221223011020 is a `hidden beast` number, since 112 + 212 + 230 + 110 + 2 + 0 = 666.

It is a super-3 number, since 3×11221223011020³ (a number of 40 digits) contains 333 as substring.

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 = 11221223010984 and 11221223011002.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 43691341 + ... + 43947419.

It is an arithmetic number, because the mean of its divisors is an integer number (160072022880).

Almost surely, 2^{11221223011020} is an apocalyptic number.

11221223011020 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 11221223011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208642745600).

11221223011020 is an abundant number, since it is smaller than the sum of its proper divisors (27196062480180).

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

11221223011020 is a wasteful number, since it uses less digits than its factorization.

11221223011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258570 (or 258559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11221223011020 its reverse (2011032212211), we get a palindrome (13232255223231).

The spelling of 11221223011020 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-three million, eleven thousand, twenty".