11012012112112 has 160 divisors (see below), whose sum is σ = 25187095065600. Its totient is φ = 4609357747200.

The previous prime is 11012012112089. The next prime is 11012012112113. The reversal of 11012012112112 is 21121121021011.

11012012112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012012112113) 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, 128510562 + ... + 128596222.

It is an arithmetic number, because the mean of its divisors is an integer number (157419344160).

Almost surely, 2^{11012012112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012012112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593547532800).

11012012112112 is an abundant number, since it is smaller than the sum of its proper divisors (14175082953488).

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

11012012112112 is a wasteful number, since it uses less digits than its factorization.

11012012112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86775 (or 86769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11012012112112 its reverse (21121121021011), we get a palindrome (32133133133123).

The spelling of 11012012112112 in words is "eleven trillion, twelve billion, twelve million, one hundred twelve thousand, one hundred twelve".