110001100011000 has 512 divisors, whose sum is σ = 396926860861440. Its totient is φ = 25109222400000.

The previous prime is 110001100010959. The next prime is 110001100011007. The reversal of 110001100011000 is 110001100011.

110001100011000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

110001100011000 is a modest number, since divided by 1100011000 gives 11000 as remainder.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 110001100011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001100011007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36397920 + ... + 39304080.

It is an arithmetic number, because the mean of its divisors is an integer number (775247775120).

Almost surely, 2^{110001100011000} is an apocalyptic number.

110001100011000 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 110001100011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198463430430720).

110001100011000 is an abundant number, since it is smaller than the sum of its proper divisors (286925760850440).

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

110001100011000 is a wasteful number, since it uses less digits than its factorization.

110001100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906264 (or 2906250 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001100011000 its reverse (110001100011), we get a palindrome (110111101111011).

110001100011000 divided by its reverse (110001100011) gives a cube (1000 = 10³).

It can be divided in two parts, 110001 and 100011000, that added together give a palindrome (100121001).

The spelling of 110001100011000 in words is "one hundred ten trillion, one billion, one hundred million, eleven thousand".