11111120000000 has 176 divisors, whose sum is σ = 27764365446480. Its totient is φ = 4444416000000.

The previous prime is 11111119999997. The next prime is 11111120000021. The reversal of 11111120000000 is 2111111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4553751138304 + 6557368861696 = 2133952^2 + 2560736^2 .

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 15 ways as a sum of consecutive naturals, for example, 79930556 + ... + 80069444.

Almost surely, 2^{11111120000000} is an apocalyptic number.

11111120000000 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 11111120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882182723240).

11111120000000 is an abundant number, since it is smaller than the sum of its proper divisors (16653245446480).

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

11111120000000 is an frugal number, since it uses more digits than its factorization.

11111120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138944 (or 138896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11111120000000 its reverse (2111111), we get a palindrome (11111122111111).

The spelling of 11111120000000 in words is "eleven trillion, one hundred eleven billion, one hundred twenty million", and thus it is an aban number.