11100012000120 has 512 divisors, whose sum is σ = 39377092204800. Its totient is φ = 2771662012416.

The previous prime is 11100012000109. The next prime is 11100012000149. The reversal of 11100012000120 is 2100021000111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3156100602 + ... + 3156104118.

Almost surely, 2^{11100012000120} is an apocalyptic number.

11100012000120 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 11100012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688546102400).

11100012000120 is an abundant number, since it is smaller than the sum of its proper divisors (28277080204680).

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

11100012000120 is a wasteful number, since it uses less digits than its factorization.

11100012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4374 counting only the distinct ones).

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

Adding to 11100012000120 its reverse (2100021000111), we get a palindrome (13200033000231).

The spelling of 11100012000120 in words is "eleven trillion, one hundred billion, twelve million, one hundred twenty", and thus it is an aban number.