1220241024048 has 160 divisors (see below), whose sum is σ = 3362997452800. Its totient is φ = 380145063168.

The previous prime is 1220241024043. The next prime is 1220241024089. The reversal of 1220241024048 is 8404201420221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220241024043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95601315 + ... + 95614077.

It is an arithmetic number, because the mean of its divisors is an integer number (21018734080).

Almost surely, 2^{1220241024048} 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 1220241024048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681498726400).

1220241024048 is an abundant number, since it is smaller than the sum of its proper divisors (2142756428752).

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

1220241024048 is a wasteful number, since it uses less digits than its factorization.

1220241024048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14193 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 1220241024048 its reverse (8404201420221), we get a palindrome (9624442444269).

The spelling of 1220241024048 in words is "one trillion, two hundred twenty billion, two hundred forty-one million, twenty-four thousand, forty-eight".