110113140000 has 240 divisors, whose sum is σ = 361748328480. Its totient is φ = 29318400000.

The previous prime is 110113139989. The next prime is 110113140119. The reversal of 110113140000 is 41311011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×110113140000³ (a number of 34 digits) contains 333 as substring.

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

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, 61139100 + ... + 61140900.

It is an arithmetic number, because the mean of its divisors is an integer number (1507284702).

Almost surely, 2^110113140000 is an apocalyptic number.

110113140000 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 110113140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180874164240).

110113140000 is an abundant number, since it is smaller than the sum of its proper divisors (251635188480).

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

110113140000 is a wasteful number, since it uses less digits than its factorization.

110113140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2830 counting only the distinct ones).

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

Adding to 110113140000 its reverse (41311011), we get a palindrome (110154451011).

The spelling of 110113140000 in words is "one hundred ten billion, one hundred thirteen million, one hundred forty thousand".