201105231202400 has 288 divisors, whose sum is σ = 569782057114368. Its totient is φ = 67887101491200.

The previous prime is 201105231202391. The next prime is 201105231202441. The reversal of 201105231202400 is 4202132501102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135448055 + ... + 136924745.

It is an arithmetic number, because the mean of its divisors is an integer number (1978409920536).

Almost surely, 2^{201105231202400} is an apocalyptic number.

201105231202400 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 201105231202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284891028557184).

201105231202400 is an abundant number, since it is smaller than the sum of its proper divisors (368676825911968).

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

201105231202400 is a wasteful number, since it uses less digits than its factorization.

201105231202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477094 (or 1477081 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 201105231202400 its reverse (4202132501102), we get a palindrome (205307363703502).

The spelling of 201105231202400 in words is "two hundred one trillion, one hundred five billion, two hundred thirty-one million, two hundred two thousand, four hundred".