11212220220300 has 432 divisors, whose sum is σ = 42730783804800. Its totient is φ = 2423580825600.

The previous prime is 11212220220287. The next prime is 11212220220359. The reversal of 11212220220300 is 302202221211.

11212220220300 is a `hidden beast` number, since 1 + 1 + 2 + 122 + 20 + 220 + 300 = 666.

It is a super-3 number, since 3×11212220220300³ (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 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 143 ways as a sum of consecutive naturals, for example, 1444531 + ... + 4950869.

It is an arithmetic number, because the mean of its divisors is an integer number (98913851400).

Almost surely, 2^{11212220220300} is an apocalyptic number.

11212220220300 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 11212220220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21365391902400).

11212220220300 is an abundant number, since it is smaller than the sum of its proper divisors (31518563584500).

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

11212220220300 is a wasteful number, since it uses less digits than its factorization.

11212220220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506406 (or 3506396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11212220220300 its reverse (302202221211), we get a palindrome (11514422441511).

The spelling of 11212220220300 in words is "eleven trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty thousand, three hundred".