110012020320000 has 360 divisors, whose sum is σ = 365945726195280. Its totient is φ = 29330739200000.

The previous prime is 110012020319939. The next prime is 110012020320029. The reversal of 110012020320000 is 23020210011.

110012020320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110012020320000² (a number of 29 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2784460246 + ... + 2784499754.

It is an arithmetic number, because the mean of its divisors is an integer number (1016515906098).

Almost surely, 2^{110012020320000} is an apocalyptic number.

110012020320000 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 110012020320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182972863097640).

110012020320000 is an abundant number, since it is smaller than the sum of its proper divisors (255933705875280).

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

110012020320000 is an frugal number, since it uses more digits than its factorization.

110012020320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45349 (or 45320 counting only the distinct ones).

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

Adding to 110012020320000 its reverse (23020210011), we get a palindrome (110035040530011).

The spelling of 110012020320000 in words is "one hundred ten trillion, twelve billion, twenty million, three hundred twenty thousand".