2201112111120 has 640 divisors, whose sum is σ = 7537767552000. Its totient is φ = 528102457344.

The previous prime is 2201112111109. The next prime is 2201112111139. The reversal of 2201112111120 is 211112111022.

It is a happy number.

It is a super-5 number, since 5×2201112111120⁵ (a number of 63 digits) contains 55555 as substring.

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 2201112111120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9611843166 + ... + 9611843394.

It is an arithmetic number, because the mean of its divisors is an integer number (11777761800).

Almost surely, 2^{2201112111120} is an apocalyptic number.

2201112111120 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 2201112111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768883776000).

2201112111120 is an abundant number, since it is smaller than the sum of its proper divisors (5336655440880).

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

2201112111120 is a wasteful number, since it uses less digits than its factorization.

2201112111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2201112111120 its reverse (211112111022), we get a palindrome (2412224222142).

The spelling of 2201112111120 in words is "two trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".