11221022112300 has 864 divisors, whose sum is σ = 48499956470784. Its totient is φ = 2094107904000.

The previous prime is 11221022112299. The next prime is 11221022112319. The reversal of 11221022112300 is 321122012211.

11221022112300 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 221 + 1 + 230 + 0 = 666.

It is a super-2 number, since 2×11221022112300² (a number of 27 digits) contains 22 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 287 ways as a sum of consecutive naturals, for example, 33164985 + ... + 33501615.

Almost surely, 2^{11221022112300} is an apocalyptic number.

11221022112300 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 11221022112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249978235392).

11221022112300 is an abundant number, since it is smaller than the sum of its proper divisors (37278934358484).

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

11221022112300 is a wasteful number, since it uses less digits than its factorization.

11221022112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336719 (or 336709 counting only the distinct ones).

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

Adding to 11221022112300 its reverse (321122012211), we get a palindrome (11542144124511).

The spelling of 11221022112300 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, one hundred twelve thousand, three hundred".