35125120 has 64 divisors (see below), whose sum is σ = 85263840. Its totient is φ = 13834240.

The previous prime is 35125087. The next prime is 35125127. The reversal of 35125120 is 2152153.

35125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35125127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45054 + ... + 45826.

Almost surely, 2^35125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631920).

35125120 is an abundant number, since it is smaller than the sum of its proper divisors (50138720).

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

35125120 is an equidigital number, since it uses as much as digits as its factorization.

35125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 35125120 is about 5926.6449193452. The cubic root of 35125120 is about 327.4959539542.

Adding to 35125120 its reverse (2152153), we get a palindrome (37277273).

It can be divided in two parts, 35125 and 120, that added together give a triangular number (35245 = T₂₆₅).

The spelling of 35125120 in words is "thirty-five million, one hundred twenty-five thousand, one hundred twenty".