20011123200 has 240 divisors, whose sum is σ = 67197056256. Its totient is φ = 5248204800.

The previous prime is 20011123177. The next prime is 20011123207. The reversal of 20011123200 is 232111002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20011123207) 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, 2338129 + ... + 2346671.

Almost surely, 2^20011123200 is an apocalyptic number.

20011123200 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 20011123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598528128).

20011123200 is an abundant number, since it is smaller than the sum of its proper divisors (47185933056).

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

20011123200 is an equidigital number, since it uses as much as digits as its factorization.

20011123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20011123200 its reverse (232111002), we get a palindrome (20243234202).

The spelling of 20011123200 in words is "twenty billion, eleven million, one hundred twenty-three thousand, two hundred".