1221080300160 has 256 divisors, whose sum is σ = 4461437111040. Its totient is φ = 278274834432.

The previous prime is 1221080300129. The next prime is 1221080300173. The reversal of 1221080300160 is 610030801221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1221080300160.

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 31 ways as a sum of consecutive naturals, for example, 4394482 + ... + 4664078.

It is an arithmetic number, because the mean of its divisors is an integer number (17427488715).

Almost surely, 2^{1221080300160} is an apocalyptic number.

1221080300160 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 1221080300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230718555520).

1221080300160 is an abundant number, since it is smaller than the sum of its proper divisors (3240356810880).

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

1221080300160 is a wasteful number, since it uses less digits than its factorization.

1221080300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269963 (or 269951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1221080300160 in words is "one trillion, two hundred twenty-one billion, eighty million, three hundred thousand, one hundred sixty".