11100120012 has 96 divisors (see below), whose sum is σ = 30496616640. Its totient is φ = 3479454720.

The previous prime is 11100120007. The next prime is 11100120013. The reversal of 11100120012 is 21002100111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100119976 and 11100120003.

It is not an unprimeable number, because it can be changed into a prime (11100120013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3444562 + ... + 3447782.

It is an arithmetic number, because the mean of its divisors is an integer number (317673090).

Almost surely, 2^11100120012 is an apocalyptic number.

11100120012 is a gapful number since it is divisible by the number (12) 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 11100120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248308320).

11100120012 is an abundant number, since it is smaller than the sum of its proper divisors (19396496628).

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

11100120012 is a wasteful number, since it uses less digits than its factorization.

11100120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100120012 its reverse (21002100111), we get a palindrome (32102220123).

The spelling of 11100120012 in words is "eleven billion, one hundred million, one hundred twenty thousand, twelve".