11123200011000 has 1024 divisors, whose sum is σ = 45901715558400. Its totient is φ = 2171142144000.

The previous prime is 11123200010999. The next prime is 11123200011023. The reversal of 11123200011000 is 11000232111.

11123200011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2265876546 + ... + 2265881454.

It is an arithmetic number, because the mean of its divisors is an integer number (44825894100).

Almost surely, 2^{11123200011000} is an apocalyptic number.

11123200011000 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 11123200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950857779200).

11123200011000 is an abundant number, since it is smaller than the sum of its proper divisors (34778515547400).

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

11123200011000 is a wasteful number, since it uses less digits than its factorization.

11123200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11123200011000 its reverse (11000232111), we get a palindrome (11134200243111).

The spelling of 11123200011000 in words is "eleven trillion, one hundred twenty-three billion, two hundred million, eleven thousand".