1021248000000 has 910 divisors, whose sum is σ = 3832763010318. Its totient is φ = 270950400000.

The previous prime is 1021247999963. The next prime is 1021248000029. The reversal of 1021248000000 is 8421201.

It can be written as a sum of positive squares in 7 ways, for example, as 938635444224 + 82612555776 = 968832^2 + 287424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 69 ways as a sum of consecutive naturals, for example, 5183999902 + ... + 5184000098.

Almost surely, 2^{1021248000000} is an apocalyptic number.

1021248000000 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 1021248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916381505159).

1021248000000 is an abundant number, since it is smaller than the sum of its proper divisors (2811515010318).

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

1021248000000 is an frugal number, since it uses more digits than its factorization.

1021248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1021248000000 in words is "one trillion, twenty-one billion, two hundred forty-eight million", and thus it is an aban number.