11123121300000 has 288 divisors, whose sum is σ = 37481805635904. Its totient is φ = 2885996160000.

The previous prime is 11123121299981. The next prime is 11123121300023. The reversal of 11123121300000 is 312132111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 10598959 + ... + 11601041.

It is an arithmetic number, because the mean of its divisors is an integer number (130145158458).

Almost surely, 2^{11123121300000} is an apocalyptic number.

11123121300000 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 11123121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740902817952).

11123121300000 is an abundant number, since it is smaller than the sum of its proper divisors (26358684335904).

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

11123121300000 is an equidigital number, since it uses as much as digits as its factorization.

11123121300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002158 (or 1002130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11123121300000 its reverse (312132111), we get a palindrome (11123433432111).

The spelling of 11123121300000 in words is "eleven trillion, one hundred twenty-three billion, one hundred twenty-one million, three hundred thousand".