1024020120 has 128 divisors (see below), whose sum is σ = 3142656000. Its totient is φ = 266872320.

The previous prime is 1024020083. The next prime is 1024020133. The reversal of 1024020120 is 210204201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1024020096 and 1024020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032825 + ... + 1033815.

It is an arithmetic number, because the mean of its divisors is an integer number (24552000).

Almost surely, 2^1024020120 is an apocalyptic number.

1024020120 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 1024020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328000).

1024020120 is an abundant number, since it is smaller than the sum of its proper divisors (2118635880).

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

1024020120 is a wasteful number, since it uses less digits than its factorization.

1024020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1024020120 is about 32000.3143734558. The cubic root of 1024020120 is about 1007.9434413340.

Adding to 1024020120 its reverse (210204201), we get a palindrome (1234224321).

The spelling of 1024020120 in words is "one billion, twenty-four million, twenty thousand, one hundred twenty".