20110110121200 has 720 divisors, whose sum is σ = 71657828792928. Its totient is φ = 4816880640000.

The previous prime is 20110110121187. The next prime is 20110110121243. The reversal of 20110110121200 is 212101101102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8989766482 + ... + 8989768718.

Almost surely, 2^{20110110121200} is an apocalyptic number.

20110110121200 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 20110110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35828914396464).

20110110121200 is an abundant number, since it is smaller than the sum of its proper divisors (51547718671728).

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

20110110121200 is a wasteful number, since it uses less digits than its factorization.

20110110121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110110121200 its reverse (212101101102), we get a palindrome (20322211222302).

It can be divided in two parts, 201101 and 10121200, that added together give a palindrome (10322301).

The spelling of 20110110121200 in words is "twenty trillion, one hundred ten billion, one hundred ten million, one hundred twenty-one thousand, two hundred".