201123626200 has 288 divisors, whose sum is σ = 558767808000. Its totient is φ = 67100866560.

The previous prime is 201123626161. The next prime is 201123626227. The reversal of 201123626200 is 2626321102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65962276 + ... + 65965324.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166000).

Almost surely, 2^201123626200 is an apocalyptic number.

201123626200 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 201123626200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279383904000).

201123626200 is an abundant number, since it is smaller than the sum of its proper divisors (357644181800).

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

201123626200 is a wasteful number, since it uses less digits than its factorization.

201123626200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 201123626200 its reverse (2626321102), we get a palindrome (203749947302).

The spelling of 201123626200 in words is "two hundred one billion, one hundred twenty-three million, six hundred twenty-six thousand, two hundred".