2201111200000 has 216 divisors, whose sum is σ = 5595403261896. Its totient is φ = 863815680000.

The previous prime is 2201111199941. The next prime is 2201111200051. The reversal of 2201111200000 is 21111022.

It can be written as a sum of positive squares in 12 ways, for example, as 2167113740544 + 33997459456 = 1472112^2 + 184384^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2201111200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42374044 + ... + 42425956.

It is an arithmetic number, because the mean of its divisors is an integer number (25904644731).

Almost surely, 2^{2201111200000} is an apocalyptic number.

2201111200000 is a gapful number since it is divisible by the number (20) 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 2201111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797701630948).

2201111200000 is an abundant number, since it is smaller than the sum of its proper divisors (3394292061896).

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

2201111200000 is an frugal number, since it uses more digits than its factorization.

2201111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52007 (or 51973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2201111200000 its reverse (21111022), we get a palindrome (2201132311022).

The spelling of 2201111200000 in words is "two trillion, two hundred one billion, one hundred eleven million, two hundred thousand".