1215328408800 has 864 divisors, whose sum is σ = 4777614213120. Its totient is φ = 265186099200.

The previous prime is 1215328408769. The next prime is 1215328408841. The reversal of 1215328408800 is 88048235121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237412641 + ... + 237417759.

It is an arithmetic number, because the mean of its divisors is an integer number (5529646080).

Almost surely, 2^{1215328408800} is an apocalyptic number.

1215328408800 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 1215328408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388807106560).

1215328408800 is an abundant number, since it is smaller than the sum of its proper divisors (3562285804320).

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

1215328408800 is a wasteful number, since it uses less digits than its factorization.

1215328408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 1215328408800 in words is "one trillion, two hundred fifteen billion, three hundred twenty-eight million, four hundred eight thousand, eight hundred".