110420200800 has 864 divisors, whose sum is σ = 483361062912. Its totient is φ = 23096586240.

The previous prime is 110420200679. The next prime is 110420200801. The reversal of 110420200800 is 8002024011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110420200801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83209737 + ... + 83211063.

Almost surely, 2^110420200800 is an apocalyptic number.

110420200800 is a gapful number since it is divisible by the number (10) 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 110420200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241680531456).

110420200800 is an abundant number, since it is smaller than the sum of its proper divisors (372940862112).

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

110420200800 is a wasteful number, since it uses less digits than its factorization.

110420200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110420200800 its reverse (8002024011), we get a palindrome (118422224811).

The spelling of 110420200800 in words is "one hundred ten billion, four hundred twenty million, two hundred thousand, eight hundred".