1216094800 has 60 divisors (see below), whose sum is σ = 2926510236. Its totient is φ = 485632000.

The previous prime is 1216094777. The next prime is 1216094819. The reversal of 1216094800 is 84906121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 91699776 + 1124395024 = 9576^2 + 33532^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278232 + ... + 282568.

Almost surely, 2^1216094800 is an apocalyptic number.

1216094800 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 1216094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463255118).

1216094800 is an abundant number, since it is smaller than the sum of its proper divisors (1710415436).

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

1216094800 is a wasteful number, since it uses less digits than its factorization.

1216094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1216094800 is about 34872.5508100569. The cubic root of 1216094800 is about 1067.3883961009.

The spelling of 1216094800 in words is "one billion, two hundred sixteen million, ninety-four thousand, eight hundred".