1218785200 has 120 divisors (see below), whose sum is σ = 3014003520. Its totient is φ = 473395200.

The previous prime is 1218785179. The next prime is 1218785201. The reversal of 1218785200 is 25878121.

It is not an unprimeable number, because it can be changed into a prime (1218785201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4530666 + ... + 4530934.

It is an arithmetic number, because the mean of its divisors is an integer number (25116696).

Almost surely, 2^1218785200 is an apocalyptic number.

1218785200 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 1218785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507001760).

1218785200 is an abundant number, since it is smaller than the sum of its proper divisors (1795218320).

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

1218785200 is a wasteful number, since it uses less digits than its factorization.

1218785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 1218785200 is about 34911.1042506535. The cubic root of 1218785200 is about 1068.1749539211.

The spelling of 1218785200 in words is "one billion, two hundred eighteen million, seven hundred eighty-five thousand, two hundred".