11123332200000 has 504 divisors, whose sum is σ = 40928533859304. Its totient is φ = 2886036480000.

The previous prime is 11123332199977. The next prime is 11123332200107. The reversal of 11123332200000 is 223332111.

11123332200000 is a `hidden beast` number, since 1 + 112 + 333 + 220 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9368300749824 + 1755031450176 = 3060768^2 + 1324776^2 .

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 71 ways as a sum of consecutive naturals, for example, 66516492 + ... + 66683508.

It is an arithmetic number, because the mean of its divisors is an integer number (81207408451).

Almost surely, 2^{11123332200000} is an apocalyptic number.

11123332200000 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 11123332200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464266929652).

11123332200000 is an abundant number, since it is smaller than the sum of its proper divisors (29805201659304).

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

11123332200000 is an equidigital number, since it uses as much as digits as its factorization.

11123332200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167097 (or 167064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11123332200000 its reverse (223332111), we get a palindrome (11123555532111).

The spelling of 11123332200000 in words is "eleven trillion, one hundred twenty-three billion, three hundred thirty-two million, two hundred thousand".