1218880032800 has 72 divisors (see below), whose sum is σ = 3011441536656. Its totient is φ = 481677866240.

The previous prime is 1218880032709. The next prime is 1218880032817. The reversal of 1218880032800 is 82300888121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9111914 + ... + 9244713.

It is an arithmetic number, because the mean of its divisors is an integer number (41825576898).

Almost surely, 2^{1218880032800} is an apocalyptic number.

1218880032800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1218880032800 is an abundant number, since it is smaller than the sum of its proper divisors (1792561503856).

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

1218880032800 is a wasteful number, since it uses less digits than its factorization.

1218880032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18356730 (or 18356717 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

Adding to 1218880032800 its sum of digits (41), we get a square (1218880032841 = 1104029²).

The spelling of 1218880032800 in words is "one trillion, two hundred eighteen billion, eight hundred eighty million, thirty-two thousand, eight hundred".