201123232200 has 768 divisors, whose sum is σ = 785092608000. Its totient is φ = 46884096000.

The previous prime is 201123232157. The next prime is 201123232207. The reversal of 201123232200 is 2232321102.

201123232200 is a `hidden beast` number, since 201 + 1 + 232 + 32 + 200 = 666.

It is a super-4 number, since 4×201123232200⁴ (a number of 46 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201123232207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440094372 + ... + 440094828.

It is an arithmetic number, because the mean of its divisors is an integer number (1022256000).

Almost surely, 2^201123232200 is an apocalyptic number.

201123232200 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 201123232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392546304000).

201123232200 is an abundant number, since it is smaller than the sum of its proper divisors (583969375800).

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

201123232200 is a wasteful number, since it uses less digits than its factorization.

201123232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201123232200 its reverse (2232321102), we get a palindrome (203355553302).

The spelling of 201123232200 in words is "two hundred one billion, one hundred twenty-three million, two hundred thirty-two thousand, two hundred".