110938200912 has 640 divisors, whose sum is σ = 407288217600. Its totient is φ = 28079654400.

The previous prime is 110938200889. The next prime is 110938200931. The reversal of 110938200912 is 219002839011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252706389 + ... + 252706827.

It is an arithmetic number, because the mean of its divisors is an integer number (636387840).

Almost surely, 2^110938200912 is an apocalyptic number.

110938200912 is a gapful number since it is divisible by the number (12) 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 110938200912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203644108800).

110938200912 is an abundant number, since it is smaller than the sum of its proper divisors (296350016688).

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

110938200912 is a wasteful number, since it uses less digits than its factorization.

110938200912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 110938200912 in words is "one hundred ten billion, nine hundred thirty-eight million, two hundred thousand, nine hundred twelve".