201123000 has 320 divisors, whose sum is σ = 761080320. Its totient is φ = 49248000.

The previous prime is 201122989. The next prime is 201123059. The reversal of 201123000 is 321102.

It is a happy number.

It is a super-2 number, since 2×201123000² = 80900922258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1052905 + ... + 1053095.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^201123000 is an apocalyptic number.

201123000 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 201123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

201123000 is an abundant number, since it is smaller than the sum of its proper divisors (559957320).

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

201123000 is a wasteful number, since it uses less digits than its factorization.

201123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201123000 is about 14181.7840908681. The cubic root of 201123000 is about 585.8960626696.

Adding to 201123000 its reverse (321102), we get a palindrome (201444102).

It can be divided in two parts, 201 and 123000, that added together give a square (123201 = 351²).

The spelling of 201123000 in words is "two hundred one million, one hundred twenty-three thousand".