2111120000000 has 352 divisors, whose sum is σ = 5757172761600. Its totient is φ = 767360000000.

The previous prime is 2111119999981. The next prime is 2111120000039. The reversal of 2111120000000 is 211112.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 879998801 + ... + 880001199.

Almost surely, 2^{2111120000000} is an apocalyptic number.

2111120000000 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 2111120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878586380800).

2111120000000 is an abundant number, since it is smaller than the sum of its proper divisors (3646052761600).

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

2111120000000 is an frugal number, since it uses more digits than its factorization.

2111120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2111120000000 its reverse (211112), we get a palindrome (2111120211112).

2111120000000 divided by its reverse (211112) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 211 and 1120000000, that added together give a palindrome (1120000211).

The spelling of 2111120000000 in words is "two trillion, one hundred eleven billion, one hundred twenty million", and thus it is an aban number.