11100111120000 has 1200 divisors, whose sum is σ = 46571258778330. Its totient is φ = 2536773120000.

The previous prime is 11100111119989. The next prime is 11100111120037. The reversal of 11100111120000 is 2111100111.

It can be written as a sum of positive squares in 5 ways, for example, as 499254336 + 11099611865664 = 22344^2 + 3331608^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1728716790 + ... + 1728723210.

Almost surely, 2^{11100111120000} is an apocalyptic number.

11100111120000 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 11100111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285629389165).

11100111120000 is an abundant number, since it is smaller than the sum of its proper divisors (35471147658330).

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

11100111120000 is an frugal number, since it uses more digits than its factorization.

11100111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100111120000 its reverse (2111100111), we get a palindrome (11102222220111).

The spelling of 11100111120000 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred twenty thousand".