1241101120 has 224 divisors, whose sum is σ = 3555772416. Its totient is φ = 403660800.

The previous prime is 1241101073. The next prime is 1241101123. The reversal of 1241101120 is 211011421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1241101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4235694 + ... + 4235986.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^1241101120 is an apocalyptic number.

1241101120 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 1241101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777886208).

1241101120 is an abundant number, since it is smaller than the sum of its proper divisors (2314671296).

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

1241101120 is a wasteful number, since it uses less digits than its factorization.

1241101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1241101120 is about 35229.2651072940. The cubic root of 1241101120 is about 1074.6549806793.

Adding to 1241101120 its reverse (211011421), we get a palindrome (1452112541).

The spelling of 1241101120 in words is "one billion, two hundred forty-one million, one hundred one thousand, one hundred twenty".