11221020300000 has 288 divisors, whose sum is σ = 42076140954624. Its totient is φ = 2564804160000.

The previous prime is 11221020299989. The next prime is 11221020300013. The reversal of 11221020300000 is 302012211.

It is a super-2 number, since 2×11221020300000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 571672 + ... + 4771671.

It is an arithmetic number, because the mean of its divisors is an integer number (146097711648).

Almost surely, 2^{11221020300000} is an apocalyptic number.

11221020300000 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 11221020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038070477312).

11221020300000 is an abundant number, since it is smaller than the sum of its proper divisors (30855120654624).

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

11221020300000 is an frugal number, since it uses more digits than its factorization.

11221020300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343388 (or 5343360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11221020300000 its reverse (302012211), we get a palindrome (11221322312211).

The spelling of 11221020300000 in words is "eleven trillion, two hundred twenty-one billion, twenty million, three hundred thousand".