48201120 has 288 divisors, whose sum is σ = 191056320. Its totient is φ = 10936320.

The previous prime is 48201113. The next prime is 48201133. The reversal of 48201120 is 2110284.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 48201093 and 48201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269191 + ... + 269369.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^48201120 is an apocalyptic number.

48201120 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 48201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

48201120 is an abundant number, since it is smaller than the sum of its proper divisors (142855200).

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

48201120 is a wasteful number, since it uses less digits than its factorization.

48201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

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

The square root of 48201120 is about 6942.7026437836. The cubic root of 48201120 is about 363.9309936410.

The spelling of 48201120 in words is "forty-eight million, two hundred one thousand, one hundred twenty".