11121000110112 has 24 divisors (see below), whose sum is σ = 29192625289296. Its totient is φ = 3707000036672.

The previous prime is 11121000110107. The next prime is 11121000110131. The reversal of 11121000110112 is 21101100012111.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11121000110112² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57921875478 + ... + 57921875669.

It is an arithmetic number, because the mean of its divisors is an integer number (1216359387054).

Almost surely, 2^{11121000110112} is an apocalyptic number.

11121000110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121000110112 is an abundant number, since it is smaller than the sum of its proper divisors (18071625179184).

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

11121000110112 is a wasteful number, since it uses less digits than its factorization.

11121000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115843751160 (or 115843751152 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11121000110112 its reverse (21101100012111), we get a palindrome (32222100122223).

The spelling of 11121000110112 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten thousand, one hundred twelve".