1220511114304 has 112 divisors (see below), whose sum is σ = 2506128998400. Its totient is φ = 589480819200.

The previous prime is 1220511114257. The next prime is 1220511114343. The reversal of 1220511114304 is 4034111150221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62932449 + ... + 62951839.

Almost surely, 2^{1220511114304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220511114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253064499200).

1220511114304 is an abundant number, since it is smaller than the sum of its proper divisors (1285617884096).

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

1220511114304 is a wasteful number, since it uses less digits than its factorization.

1220511114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19742 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1220511114304 its reverse (4034111150221), we get a palindrome (5254622264525).

The spelling of 1220511114304 in words is "one trillion, two hundred twenty billion, five hundred eleven million, one hundred fourteen thousand, three hundred four".