20110113223200 has 2592 divisors, whose sum is σ = 98339781601152. Its totient is φ = 3752386560000.

The previous prime is 20110113223177. The next prime is 20110113223259. The reversal of 20110113223200 is 232231101102.

20110113223200 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 11 + 322 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3466660300 + ... + 3466666100.

It is an arithmetic number, because the mean of its divisors is an integer number (37939730556).

Almost surely, 2^{20110113223200} is an apocalyptic number.

20110113223200 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 20110113223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49169890800576).

20110113223200 is an abundant number, since it is smaller than the sum of its proper divisors (78229668377952).

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

20110113223200 is a wasteful number, since it uses less digits than its factorization.

20110113223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20110113223200 its reverse (232231101102), we get a palindrome (20342344324302).

The spelling of 20110113223200 in words is "twenty trillion, one hundred ten billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred".