201113224400 has 120 divisors (see below), whose sum is σ = 527261491200. Its totient is φ = 73109606400.

The previous prime is 201113224397. The next prime is 201113224409. The reversal of 201113224400 is 4422311102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201113224409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22519136 + ... + 22528064.

It is an arithmetic number, because the mean of its divisors is an integer number (4393845760).

Almost surely, 2^201113224400 is an apocalyptic number.

201113224400 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 201113224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263630745600).

201113224400 is an abundant number, since it is smaller than the sum of its proper divisors (326148266800).

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

201113224400 is a wasteful number, since it uses less digits than its factorization.

201113224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201113224400 its reverse (4422311102), we get a palindrome (205535535502).

The spelling of 201113224400 in words is "two hundred one billion, one hundred thirteen million, two hundred twenty-four thousand, four hundred".