2505124210120 has 144 divisors (see below), whose sum is σ = 6598935373140. Its totient is φ = 853412571648.

The previous prime is 2505124210111. The next prime is 2505124210133. The reversal of 2505124210120 is 210124215052.

It can be written as a sum of positive squares in 6 ways, for example, as 1325984492196 + 1179139717924 = 1151514^2 + 1085882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48286114 + ... + 48337966.

Almost surely, 2^{2505124210120} is an apocalyptic number.

2505124210120 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 2505124210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299467686570).

2505124210120 is an abundant number, since it is smaller than the sum of its proper divisors (4093811163020).

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

2505124210120 is a wasteful number, since it uses less digits than its factorization.

2505124210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52192 (or 52024 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 2505124210120 its reverse (210124215052), we get a palindrome (2715248425172).

The spelling of 2505124210120 in words is "two trillion, five hundred five billion, one hundred twenty-four million, two hundred ten thousand, one hundred twenty".