1120242816 has 384 divisors, whose sum is σ = 4097658240. Its totient is φ = 285327360.

The previous prime is 1120242731. The next prime is 1120242817. The reversal of 1120242816 is 6182420211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1120242816.

It is not an unprimeable number, because it can be changed into a prime (1120242817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6475306 + ... + 6475478.

It is an arithmetic number, because the mean of its divisors is an integer number (10670985).

Almost surely, 2^1120242816 is an apocalyptic number.

1120242816 is a gapful number since it is divisible by the number (16) 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 1120242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048829120).

1120242816 is an abundant number, since it is smaller than the sum of its proper divisors (2977415424).

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

1120242816 is a wasteful number, since it uses less digits than its factorization.

1120242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1120242816 is about 33470.0286226349. The cubic root of 1120242816 is about 1038.5738637954.

The spelling of 1120242816 in words is "one billion, one hundred twenty million, two hundred forty-two thousand, eight hundred sixteen".