11012013120 has 112 divisors (see below), whose sum is σ = 35090209728. Its totient is φ = 2925864960.

The previous prime is 11012013107. The next prime is 11012013203. The reversal of 11012013120 is 2131021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012013096 and 11012013105.

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, 245215 + ... + 286625.

It is an arithmetic number, because the mean of its divisors is an integer number (313305444).

Almost surely, 2^11012013120 is an apocalyptic number.

11012013120 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 11012013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545104864).

11012013120 is an abundant number, since it is smaller than the sum of its proper divisors (24078196608).

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

11012013120 is a wasteful number, since it uses less digits than its factorization.

11012013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41708 (or 41698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11012013120 its reverse (2131021011), we get a palindrome (13143034131).

The spelling of 11012013120 in words is "eleven billion, twelve million, thirteen thousand, one hundred twenty".