1100231241120 has 288 divisors, whose sum is σ = 4195762369344. Its totient is φ = 260217139200.

The previous prime is 1100231241119. The next prime is 1100231241139. The reversal of 1100231241120 is 211421320011.

1100231241120 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 231 + 2 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1100231241093 and 1100231241102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197622 + ... + 1496501.

It is an arithmetic number, because the mean of its divisors is an integer number (14568619338).

Almost surely, 2^{1100231241120} is an apocalyptic number.

1100231241120 is a gapful number since it is divisible by the number (10) 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 1100231241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097881184672).

1100231241120 is an abundant number, since it is smaller than the sum of its proper divisors (3095531128224).

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

1100231241120 is a wasteful number, since it uses less digits than its factorization.

1100231241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694196 (or 1694185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1100231241120 its reverse (211421320011), we get a palindrome (1311652561131).

The spelling of 1100231241120 in words is "one trillion, one hundred billion, two hundred thirty-one million, two hundred forty-one thousand, one hundred twenty".