4125212520 has 512 divisors, whose sum is σ = 15676416000. Its totient is φ = 853032960.

The previous prime is 4125212479. The next prime is 4125212543. The reversal of 4125212520 is 252125214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23045791 + ... + 23045969.

It is an arithmetic number, because the mean of its divisors is an integer number (30618000).

Almost surely, 2^4125212520 is an apocalyptic number.

4125212520 is a gapful number since it is divisible by the number (40) 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 4125212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208000).

4125212520 is an abundant number, since it is smaller than the sum of its proper divisors (11551203480).

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

4125212520 is a wasteful number, since it uses less digits than its factorization.

4125212520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4125212520 is about 64227.8173379728. The cubic root of 4125212520 is about 1603.7947065531.

Adding to 4125212520 its reverse (252125214), we get a palindrome (4377337734).

The spelling of 4125212520 in words is "four billion, one hundred twenty-five million, two hundred twelve thousand, five hundred twenty".