25120110120 has 256 divisors, whose sum is σ = 86980884480. Its totient is φ = 5685120000.

The previous prime is 25120110089. The next prime is 25120110131. The reversal of 25120110120 is 2101102152.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25120110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59667510 + ... + 59667930.

It is an arithmetic number, because the mean of its divisors is an integer number (339769080).

Almost surely, 2^25120110120 is an apocalyptic number.

25120110120 is a gapful number since it is divisible by the number (20) 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 25120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43490442240).

25120110120 is an abundant number, since it is smaller than the sum of its proper divisors (61860774360).

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

25120110120 is a wasteful number, since it uses less digits than its factorization.

25120110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 25120110120 its reverse (2101102152), we get a palindrome (27221212272).

The spelling of 25120110120 in words is "twenty-five billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".