1218058800 has 120 divisors (see below), whose sum is σ = 4459286016. Its totient is φ = 278411520.

The previous prime is 1218058799. The next prime is 1218058811. The reversal of 1218058800 is 88508121.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64104 + ... + 80903.

Almost surely, 2^1218058800 is an apocalyptic number.

1218058800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1218058800 is an abundant number, since it is smaller than the sum of its proper divisors (3241227216).

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

1218058800 is a wasteful number, since it uses less digits than its factorization.

1218058800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145035 (or 145024 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 1218058800 is about 34900.6991333985. The cubic root of 1218058800 is about 1067.9626998153.

The spelling of 1218058800 in words is "one billion, two hundred eighteen million, fifty-eight thousand, eight hundred".