48102120 has 128 divisors (see below), whose sum is σ = 174960000. Its totient is φ = 11658240.

The previous prime is 48102113. The next prime is 48102121. The reversal of 48102120 is 2120184.

It is a super-3 number, since 3×48102120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 48102093 and 48102102.

It is not an unprimeable number, because it can be changed into a prime (48102121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9856 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (1366875).

Almost surely, 2^48102120 is an apocalyptic number.

48102120 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 48102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87480000).

48102120 is an abundant number, since it is smaller than the sum of its proper divisors (126857880).

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

48102120 is a wasteful number, since it uses less digits than its factorization.

48102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 48102120 is about 6935.5691907730. The cubic root of 48102120 is about 363.6816642806.

The spelling of 48102120 in words is "forty-eight million, one hundred two thousand, one hundred twenty".