1216033120 has 192 divisors, whose sum is σ = 3208113216. Its totient is φ = 433520640.

The previous prime is 1216033087. The next prime is 1216033121. The reversal of 1216033120 is 213306121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216033121) 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 31 ways as a sum of consecutive naturals, for example, 4327380 + ... + 4327660.

It is an arithmetic number, because the mean of its divisors is an integer number (16708923).

Almost surely, 2^1216033120 is an apocalyptic number.

1216033120 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 1216033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604056608).

1216033120 is an abundant number, since it is smaller than the sum of its proper divisors (1992080096).

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

1216033120 is a wasteful number, since it uses less digits than its factorization.

1216033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1216033120 is about 34871.6664356609. Note that the first 3 decimals coincide. The cubic root of 1216033120 is about 1067.3703499121.

Adding to 1216033120 its reverse (213306121), we get a palindrome (1429339241).

The spelling of 1216033120 in words is "one billion, two hundred sixteen million, thirty-three thousand, one hundred twenty".