11222310111300 has 432 divisors, whose sum is σ = 37979347416192. Its totient is φ = 2761579008000.

The previous prime is 11222310111277. The next prime is 11222310111319. The reversal of 11222310111300 is 311101322211.

11222310111300 is a `hidden beast` number, since 1 + 1 + 22 + 231 + 0 + 111 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159130647 + ... + 159201153.

It is an arithmetic number, because the mean of its divisors is an integer number (87915156056).

Almost surely, 2^{11222310111300} is an apocalyptic number.

11222310111300 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 11222310111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989673708096).

11222310111300 is an abundant number, since it is smaller than the sum of its proper divisors (26757037304892).

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

11222310111300 is a wasteful number, since it uses less digits than its factorization.

11222310111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70748 (or 70738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11222310111300 its reverse (311101322211), we get a palindrome (11533411433511).

The spelling of 11222310111300 in words is "eleven trillion, two hundred twenty-two billion, three hundred ten million, one hundred eleven thousand, three hundred".