11011012111120 has 60 divisors (see below), whose sum is σ = 29780293480524. Its totient is φ = 3775204151040.

The previous prime is 11011012111117. The next prime is 11011012111133. The reversal of 11011012111120 is 2111121011011.

It can be written as a sum of positive squares in 2 ways, for example, as 2426416828416 + 8584595282704 = 1557696^2 + 2929948^2 .

It is a super-2 number, since 2×11011012111120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11011012111120.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404461911 + ... + 1404469750.

Almost surely, 2^{11011012111120} is an apocalyptic number.

11011012111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011012111120 is an abundant number, since it is smaller than the sum of its proper divisors (18769281369404).

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

11011012111120 is a wasteful number, since it uses less digits than its factorization.

11011012111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808931688 (or 2808931675 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11011012111120 its reverse (2111121011011), we get a palindrome (13122133122131).

The spelling of 11011012111120 in words is "eleven trillion, eleven billion, twelve million, one hundred eleven thousand, one hundred twenty".