1023320127000 has 256 divisors, whose sum is σ = 3218426265600. Its totient is φ = 270699840000.

The previous prime is 1023320126981. The next prime is 1023320127061. The reversal of 1023320127000 is 7210233201.

It is a super-2 number, since 2×1023320127000² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 222894705 + ... + 222899295.

It is an arithmetic number, because the mean of its divisors is an integer number (12571977600).

Almost surely, 2^{1023320127000} is an apocalyptic number.

1023320127000 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 1023320127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609213132800).

1023320127000 is an abundant number, since it is smaller than the sum of its proper divisors (2195106138600).

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

1023320127000 is a wasteful number, since it uses less digits than its factorization.

1023320127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 1023320127000 in words is "one trillion, twenty-three billion, three hundred twenty million, one hundred twenty-seven thousand".