1218078000 has 400 divisors, whose sum is σ = 4503360576. Its totient is φ = 317260800.

The previous prime is 1218077969. The next prime is 1218078007. The reversal of 1218078000 is 8708121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1218078007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11825949 + ... + 11826051.

Almost surely, 2^1218078000 is an apocalyptic number.

1218078000 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 1218078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251680288).

1218078000 is an abundant number, since it is smaller than the sum of its proper divisors (3285282576).

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

1218078000 is a wasteful number, since it uses less digits than its factorization.

1218078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1218078000 is about 34900.9741984375. The cubic root of 1218078000 is about 1067.9683111416.

The spelling of 1218078000 in words is "one billion, two hundred eighteen million, seventy-eight thousand".