11001301141200 has 240 divisors, whose sum is σ = 35348181619200. Its totient is φ = 2924752896000.

The previous prime is 11001301141177. The next prime is 11001301141219. The reversal of 11001301141200 is 214110310011.

It is a tau number, because it is divible by the number of its divisors (240).

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 11001301141200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957545056 + ... + 957556544.

It is an arithmetic number, because the mean of its divisors is an integer number (147284090080).

Almost surely, 2^{11001301141200} is an apocalyptic number.

11001301141200 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 11001301141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674090809600).

11001301141200 is an abundant number, since it is smaller than the sum of its proper divisors (24346880478000).

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

11001301141200 is a wasteful number, since it uses less digits than its factorization.

11001301141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13870 (or 13859 counting only the distinct ones).

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

Adding to 11001301141200 its reverse (214110310011), we get a palindrome (11215411451211).

The spelling of 11001301141200 in words is "eleven trillion, one billion, three hundred one million, one hundred forty-one thousand, two hundred".