1121101112160 has 144 divisors (see below), whose sum is σ = 3957680366640. Its totient is φ = 288651310080.

The previous prime is 1121101112119. The next prime is 1121101112161. The reversal of 1121101112160 is 612111011211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121101112161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13381386 + ... + 13464905.

It is an arithmetic number, because the mean of its divisors is an integer number (27483891435).

Almost surely, 2^{1121101112160} is an apocalyptic number.

1121101112160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121101112160 is an abundant number, since it is smaller than the sum of its proper divisors (2836579254480).

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

1121101112160 is a wasteful number, since it uses less digits than its factorization.

1121101112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26846341 (or 26846330 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 1121101112160 its reverse (612111011211), we get a palindrome (1733212123371).

The spelling of 1121101112160 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred sixty".