11012112111120 has 80 divisors (see below), whose sum is σ = 34219021717440. Its totient is φ = 2929554698752.

The previous prime is 11012112111037. The next prime is 11012112111131. The reversal of 11012112111120 is 2111121121011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11012112111120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012112111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54653379 + ... + 54854498.

It is an arithmetic number, because the mean of its divisors is an integer number (427737771468).

Almost surely, 2^{11012112111120} is an apocalyptic number.

11012112111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012112111120 is an abundant number, since it is smaller than the sum of its proper divisors (23206909606320).

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

11012112111120 is a wasteful number, since it uses less digits than its factorization.

11012112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109508312 (or 109508306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11012112111120 its reverse (2111121121011), we get a palindrome (13123233232131).

The spelling of 11012112111120 in words is "eleven trillion, twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".