1023122798880 has 576 divisors, whose sum is σ = 4041990989568. Its totient is φ = 215622328320.

The previous prime is 1023122798857. The next prime is 1023122798917. The reversal of 1023122798880 is 888972213201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422253349 + ... + 422255771.

It is an arithmetic number, because the mean of its divisors is an integer number (7017345468).

Almost surely, 2^{1023122798880} is an apocalyptic number.

1023122798880 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 1023122798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020995494784).

1023122798880 is an abundant number, since it is smaller than the sum of its proper divisors (3018868190688).

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

1023122798880 is a wasteful number, since it uses less digits than its factorization.

1023122798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 1023122798880 in words is "one trillion, twenty-three billion, one hundred twenty-two million, seven hundred ninety-eight thousand, eight hundred eighty".