201048120 has 576 divisors, whose sum is σ = 898672320. Its totient is φ = 37822464.

The previous prime is 201048109. The next prime is 201048143. The reversal of 201048120 is 21840102.

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 = 201048093 and 201048102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10581471 + ... + 10581489.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^201048120 is an apocalyptic number.

201048120 is a gapful number since it is divisible by the number (20) 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 201048120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

201048120 is an abundant number, since it is smaller than the sum of its proper divisors (697624200).

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

201048120 is a wasteful number, since it uses less digits than its factorization.

201048120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

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

The square root of 201048120 is about 14179.1438387513. The cubic root of 201048120 is about 585.8233420908.

Adding to 201048120 its reverse (21840102), we get a palindrome (222888222).

It can be divided in two parts, 20104 and 8120, that added together give a square (28224 = 168²).

The spelling of 201048120 in words is "two hundred one million, forty-eight thousand, one hundred twenty".