11200123011120 has 640 divisors, whose sum is σ = 39043101081600. Its totient is φ = 2639392210944.

The previous prime is 11200123011089. The next prime is 11200123011151. The reversal of 11200123011120 is 2111032100211.

It is an interprime number because it is at equal distance from previous prime (11200123011089) and next prime (11200123011151).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11200123011120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5002286961 + ... + 5002289199.

It is an arithmetic number, because the mean of its divisors is an integer number (61004845440).

Almost surely, 2^{11200123011120} is an apocalyptic number.

11200123011120 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 11200123011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19521550540800).

11200123011120 is an abundant number, since it is smaller than the sum of its proper divisors (27842978070480).

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

11200123011120 is a wasteful number, since it uses less digits than its factorization.

11200123011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11200123011120 its reverse (2111032100211), we get a palindrome (13311155111331).

The spelling of 11200123011120 in words is "eleven trillion, two hundred billion, one hundred twenty-three million, eleven thousand, one hundred twenty".