1121101112124 has 384 divisors, whose sum is σ = 3540611235840. Its totient is φ = 300007411200.

The previous prime is 1121101112119. The next prime is 1121101112161. The reversal of 1121101112124 is 4212111011211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1121101112097 and 1121101112106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122026659 + ... + 122035845.

It is an arithmetic number, because the mean of its divisors is an integer number (9220341760).

Almost surely, 2^{1121101112124} is an apocalyptic number.

1121101112124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121101112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770305617920).

1121101112124 is an abundant number, since it is smaller than the sum of its proper divisors (2419510123716).

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

1121101112124 is a wasteful number, since it uses less digits than its factorization.

1121101112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9406 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1121101112124 its reverse (4212111011211), we get a palindrome (5333212123335).

The spelling of 1121101112124 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred twenty-four".