1216041120 has 192 divisors, whose sum is σ = 4864285440. Its totient is φ = 277945344.

The previous prime is 1216041109. The next prime is 1216041121. The reversal of 1216041120 is 211406121.

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 = 1216041093 and 1216041102.

It is not an unprimeable number, because it can be changed into a prime (1216041121) 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, 10134 + ... + 50346.

It is an arithmetic number, because the mean of its divisors is an integer number (25334820).

Almost surely, 2^1216041120 is an apocalyptic number.

1216041120 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 1216041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432142720).

1216041120 is an abundant number, since it is smaller than the sum of its proper divisors (3648244320).

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

1216041120 is a wasteful number, since it uses less digits than its factorization.

1216041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40244 (or 40230 counting only the distinct ones).

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

The square root of 1216041120 is about 34871.7811417771. The cubic root of 1216041120 is about 1067.3726905676.

Adding to 1216041120 its reverse (211406121), we get a palindrome (1427447241).

The spelling of 1216041120 in words is "one billion, two hundred sixteen million, forty-one thousand, one hundred twenty".