1218165600 has 288 divisors, whose sum is σ = 4266289440. Its totient is φ = 300810240.

The previous prime is 1218165511. The next prime is 1218165607. The reversal of 1218165600 is 65618121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218165607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978196 + ... + 2978604.

It is an arithmetic number, because the mean of its divisors is an integer number (14813505).

Almost surely, 2^1218165600 is an apocalyptic number.

1218165600 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 1218165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133144720).

1218165600 is an abundant number, since it is smaller than the sum of its proper divisors (3048123840).

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

1218165600 is a wasteful number, since it uses less digits than its factorization.

1218165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1218165600 is about 34902.2291551700. The cubic root of 1218165600 is about 1067.9939120695.

The spelling of 1218165600 in words is "one billion, two hundred eighteen million, one hundred sixty-five thousand, six hundred".