201123120 has 320 divisors, whose sum is σ = 732810240. Its totient is φ = 45158400.

The previous prime is 201123101. The next prime is 201123127. The reversal of 201123120 is 21321102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201123096 and 201123105.

It is not an unprimeable number, because it can be changed into a prime (201123127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2832685 + ... + 2832755.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^201123120 is an apocalyptic number.

201123120 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 201123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366405120).

201123120 is an abundant number, since it is smaller than the sum of its proper divisors (531687120).

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

201123120 is a wasteful number, since it uses less digits than its factorization.

201123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201123120 is about 14181.7883216469. The cubic root of 201123120 is about 585.8961791945.

Adding to 201123120 its reverse (21321102), we get a palindrome (222444222).

It can be divided in two parts, 20112 and 3120, that added together give a palindrome (23232).

The spelling of 201123120 in words is "two hundred one million, one hundred twenty-three thousand, one hundred twenty".