1023120202304 has 112 divisors (see below), whose sum is σ = 2230429808880. Its totient is φ = 463481733120.

The previous prime is 1023120202297. The next prime is 1023120202331. The reversal of 1023120202304 is 4032020213201.

It can be written as a sum of positive squares in 8 ways, for example, as 153287910400 + 869832291904 = 391520^2 + 932648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10584914 + ... + 10681134.

It is an arithmetic number, because the mean of its divisors is an integer number (19914551865).

Almost surely, 2^{1023120202304} 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 1023120202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115214904440).

1023120202304 is an abundant number, since it is smaller than the sum of its proper divisors (1207309606576).

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

1023120202304 is a wasteful number, since it uses less digits than its factorization.

1023120202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96616 (or 96606 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1023120202304 its reverse (4032020213201), we get a palindrome (5055140415505).

The spelling of 1023120202304 in words is "one trillion, twenty-three billion, one hundred twenty million, two hundred two thousand, three hundred four".