1218833280 has 768 divisors, whose sum is σ = 5320972800. Its totient is φ = 250822656.

The previous prime is 1218833279. The next prime is 1218833303. The reversal of 1218833280 is 823388121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28344939 + ... + 28344981.

It is an arithmetic number, because the mean of its divisors is an integer number (6928350).

Almost surely, 2^1218833280 is an apocalyptic number.

1218833280 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 1218833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660486400).

1218833280 is an abundant number, since it is smaller than the sum of its proper divisors (4102139520).

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

1218833280 is a wasteful number, since it uses less digits than its factorization.

1218833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1218833280 is about 34911.7928499812. The cubic root of 1218833280 is about 1068.1889999226.

The spelling of 1218833280 in words is "one billion, two hundred eighteen million, eight hundred thirty-three thousand, two hundred eighty".