1011120240 has 240 divisors, whose sum is σ = 3442467168. Its totient is φ = 245366784.

The previous prime is 1011120239. The next prime is 1011120247. The reversal of 1011120240 is 420211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934192 + ... + 3934448.

Almost surely, 2^1011120240 is an apocalyptic number.

1011120240 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 1011120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721233584).

1011120240 is an abundant number, since it is smaller than the sum of its proper divisors (2431346928).

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

1011120240 is a wasteful number, since it uses less digits than its factorization.

1011120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1011120240 is about 31798.1169253778. The cubic root of 1011120240 is about 1003.6930909559.

Adding to 1011120240 its reverse (420211101), we get a palindrome (1431331341).

The spelling of 1011120240 in words is "one billion, eleven million, one hundred twenty thousand, two hundred forty".