1218735000 has 480 divisors, whose sum is σ = 4868566560. Its totient is φ = 269568000.

The previous prime is 1218734999. The next prime is 1218735013. The reversal of 1218735000 is 5378121.

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 119 ways as a sum of consecutive naturals, for example, 16694964 + ... + 16695036.

It is an arithmetic number, because the mean of its divisors is an integer number (10142847).

Almost surely, 2^1218735000 is an apocalyptic number.

1218735000 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 1218735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434283280).

1218735000 is an abundant number, since it is smaller than the sum of its proper divisors (3649831560).

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

1218735000 is a wasteful number, since it uses less digits than its factorization.

1218735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1218735000 is about 34910.3852742991. The cubic root of 1218735000 is about 1068.1602881925.

The spelling of 1218735000 in words is "one billion, two hundred eighteen million, seven hundred thirty-five thousand".