11211220023300 has 216 divisors, whose sum is σ = 38337885593280. Its totient is φ = 2717707910400.

The previous prime is 11211220023271. The next prime is 11211220023301. The reversal of 11211220023300 is 332002211211.

11211220023300 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 0 + 233 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11211220023301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283743946 + ... + 283783454.

It is an arithmetic number, because the mean of its divisors is an integer number (177490211080).

Almost surely, 2^{11211220023300} is an apocalyptic number.

11211220023300 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 11211220023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168942796640).

11211220023300 is an abundant number, since it is smaller than the sum of its proper divisors (27126665569980).

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

11211220023300 is a wasteful number, since it uses less digits than its factorization.

11211220023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68203 (or 68193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11211220023300 its reverse (332002211211), we get a palindrome (11543222234511).

The spelling of 11211220023300 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, twenty-three thousand, three hundred".