11121110000000 has 1536 divisors, whose sum is σ = 37836325013760. Its totient is φ = 3168000000000.

The previous prime is 11121109999999. The next prime is 11121110000051. The reversal of 11121110000000 is 1112111.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 110109999950 + ... + 110110000050.

Almost surely, 2^{11121110000000} is an apocalyptic number.

11121110000000 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 11121110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918162506880).

11121110000000 is an abundant number, since it is smaller than the sum of its proper divisors (26715215013760).

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

11121110000000 is an frugal number, since it uses more digits than its factorization.

11121110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 139 counting only the distinct ones).

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

Adding to 11121110000000 its reverse (1112111), we get a palindrome (11121111112111).

11121110000000 divided by its reverse (1112111) gives a 7-th power (10000000 = 10⁷).

The spelling of 11121110000000 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten million", and thus it is an aban number.