11200120342000 has 320 divisors, whose sum is σ = 29773758643200. Its totient is φ = 4056030950400.

The previous prime is 11200120341959. The next prime is 11200120342003. The reversal of 11200120342000 is 24302100211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200120342003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074140787 + ... + 1074151213.

It is an arithmetic number, because the mean of its divisors is an integer number (93042995760).

Almost surely, 2^{11200120342000} is an apocalyptic number.

11200120342000 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 11200120342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886879321600).

11200120342000 is an abundant number, since it is smaller than the sum of its proper divisors (18573638301200).

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

11200120342000 is a wasteful number, since it uses less digits than its factorization.

11200120342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11200120342000 its reverse (24302100211), we get a palindrome (11224422442211).

The spelling of 11200120342000 in words is "eleven trillion, two hundred billion, one hundred twenty million, three hundred forty-two thousand".