1023045120 has 480 divisors, whose sum is σ = 3928811040. Its totient is φ = 252149760.

The previous prime is 1023045119. The next prime is 1023045137. The reversal of 1023045120 is 215403201.

1023045120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 1023045093 and 1023045102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24952300 + ... + 24952340.

It is an arithmetic number, because the mean of its divisors is an integer number (8185023).

Almost surely, 2^1023045120 is an apocalyptic number.

1023045120 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 1023045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964405520).

1023045120 is an abundant number, since it is smaller than the sum of its proper divisors (2905765920).

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

1023045120 is an equidigital number, since it uses as much as digits as its factorization.

1023045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1023045120 is about 31985.0765201523. The cubic root of 1023045120 is about 1007.6234421135.

Adding to 1023045120 its reverse (215403201), we get a palindrome (1238448321).

It can be divided in two parts, 1023045 and 120, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 1023045120 in words is "one billion, twenty-three million, forty-five thousand, one hundred twenty".