1216485600 has 432 divisors, whose sum is σ = 4488462720. Its totient is φ = 285824000.

The previous prime is 1216485563. The next prime is 1216485661. The reversal of 1216485600 is 65846121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17133565 + ... + 17133635.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^1216485600 is an apocalyptic number.

1216485600 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 1216485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

1216485600 is an abundant number, since it is smaller than the sum of its proper divisors (3271977120).

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

1216485600 is a wasteful number, since it uses less digits than its factorization.

1216485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1216485600 is about 34878.1536208556. The cubic root of 1216485600 is about 1067.5027212643.

The spelling of 1216485600 in words is "one billion, two hundred sixteen million, four hundred eighty-five thousand, six hundred".