63117120 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 14837760.

The previous prime is 63117113. The next prime is 63117121. The reversal of 63117120 is 2171136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63117121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454011 + ... + 454149.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^63117120 is an apocalyptic number.

63117120 is a gapful number since it is divisible by the number (60) 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 63117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

63117120 is an abundant number, since it is smaller than the sum of its proper divisors (162191040).

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

63117120 is a wasteful number, since it uses less digits than its factorization.

63117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 63117120 is about 7944.6283739392. The cubic root of 63117120 is about 398.1521433765.

Adding to 63117120 its reverse (2171136), we get a palindrome (65288256).

It can be divided in two parts, 6311 and 7120, that added together give a palindrome (13431).

The spelling of 63117120 in words is "sixty-three million, one hundred seventeen thousand, one hundred twenty".