11201000379312 has 160 divisors (see below), whose sum is σ = 29394484346880. Its totient is φ = 3674809831680.

The previous prime is 11201000379299. The next prime is 11201000379337. The reversal of 11201000379312 is 21397300010211.

It is a self number, because there is not a number n which added to its sum of digits gives 11201000379312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2855210983 + ... + 2855214905.

It is an arithmetic number, because the mean of its divisors is an integer number (183715527168).

Almost surely, 2^{11201000379312} is an apocalyptic number.

11201000379312 is a gapful number since it is divisible by the number (12) 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 11201000379312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697242173440).

11201000379312 is an abundant number, since it is smaller than the sum of its proper divisors (18193483967568).

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

11201000379312 is a wasteful number, since it uses less digits than its factorization.

11201000379312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

Adding to 11201000379312 its reverse (21397300010211), we get a palindrome (32598300389523).

The spelling of 11201000379312 in words is "eleven trillion, two hundred one billion, three hundred seventy-nine thousand, three hundred twelve".