1216124800 has 96 divisors (see below), whose sum is σ = 3277413000. Its totient is φ = 442214400.

The previous prime is 1216124719. The next prime is 1216124809. The reversal of 1216124800 is 84216121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216124809) 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 11 ways as a sum of consecutive naturals, for example, 17926 + ... + 52474.

Almost surely, 2^1216124800 is an apocalyptic number.

1216124800 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 1216124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638706500).

1216124800 is an abundant number, since it is smaller than the sum of its proper divisors (2061288200).

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

1216124800 is a wasteful number, since it uses less digits than its factorization.

1216124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34584 (or 34567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1216124800 is about 34872.9809451386. The cubic root of 1216124800 is about 1067.3971732096.

The spelling of 1216124800 in words is "one billion, two hundred sixteen million, one hundred twenty-four thousand, eight hundred".