1025124120 has 256 divisors, whose sum is σ = 3587788800. Its totient is φ = 260029440.

The previous prime is 1025124091. The next prime is 1025124167. The reversal of 1025124120 is 214215201.

1025124120 is a `hidden beast` number, since 1 + 0 + 251 + 2 + 412 + 0 = 666.

It is a super-2 number, since 2×1025124120² = 2101758922811548800, which contains 22 as substring.

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 = 1025124093 and 1025124102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242932 + ... + 2243388.

It is an arithmetic number, because the mean of its divisors is an integer number (14014800).

Almost surely, 2^1025124120 is an apocalyptic number.

1025124120 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 1025124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793894400).

1025124120 is an abundant number, since it is smaller than the sum of its proper divisors (2562664680).

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

1025124120 is a wasteful number, since it uses less digits than its factorization.

1025124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1025124120 is about 32017.5595572180. The cubic root of 1025124120 is about 1008.3055337979.

Adding to 1025124120 its reverse (214215201), we get a palindrome (1239339321).

The spelling of 1025124120 in words is "one billion, twenty-five million, one hundred twenty-four thousand, one hundred twenty".