1023120330320 has 120 divisors (see below), whose sum is σ = 2615277611520. Its totient is φ = 371956499200.

The previous prime is 1023120330301. The next prime is 1023120330439. The reversal of 1023120330320 is 230330213201.

It is a super-2 number, since 2×1023120330320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023120330292 and 1023120330301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52949621 + ... + 52968939.

It is an arithmetic number, because the mean of its divisors is an integer number (21793980096).

Almost surely, 2^{1023120330320} is an apocalyptic number.

1023120330320 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 1023120330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307638805760).

1023120330320 is an abundant number, since it is smaller than the sum of its proper divisors (1592157281200).

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

1023120330320 is a wasteful number, since it uses less digits than its factorization.

1023120330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24825 (or 24808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1023120330320 its reverse (230330213201), we get a palindrome (1253450543521).

The spelling of 1023120330320 in words is "one trillion, twenty-three billion, one hundred twenty million, three hundred thirty thousand, three hundred twenty".