11201665200000 has 384 divisors, whose sum is σ = 40571664497280. Its totient is φ = 2715552000000.

The previous prime is 11201665199987. The next prime is 11201665200017. The reversal of 11201665200000 is 256610211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12775695 + ... + 13624305.

It is an arithmetic number, because the mean of its divisors is an integer number (105655376295).

Almost surely, 2^{11201665200000} is an apocalyptic number.

11201665200000 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 11201665200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285832248640).

11201665200000 is an abundant number, since it is smaller than the sum of its proper divisors (29369999297280).

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

11201665200000 is an frugal number, since it uses more digits than its factorization.

11201665200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848664 (or 848632 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11201665200000 in words is "eleven trillion, two hundred one billion, six hundred sixty-five million, two hundred thousand".