1022110001248 has 96 divisors (see below), whose sum is σ = 2307616819200. Its totient is φ = 436549685760.

The previous prime is 1022110001201. The next prime is 1022110001249. The reversal of 1022110001248 is 8421000112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022110001249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261340413 + ... + 261344323.

It is an arithmetic number, because the mean of its divisors is an integer number (24037675200).

Almost surely, 2^{1022110001248} 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 1022110001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153808409600).

1022110001248 is an abundant number, since it is smaller than the sum of its proper divisors (1285506817952).

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

1022110001248 is a wasteful number, since it uses less digits than its factorization.

1022110001248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1022110001248 its reverse (8421000112201), we get a palindrome (9443110113449).

The spelling of 1022110001248 in words is "one trillion, twenty-two billion, one hundred ten million, one thousand, two hundred forty-eight".