111004141200000 has 768 divisors, whose sum is σ = 371318709081600. Its totient is φ = 29379317760000.

The previous prime is 111004141199971. The next prime is 111004141200037. The reversal of 111004141200000 is 2141400111.

It is a super-3 number, since 3×111004141200000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118467599532 + ... + 118467600468.

It is an arithmetic number, because the mean of its divisors is an integer number (483487902450).

Almost surely, 2^{111004141200000} is an apocalyptic number.

111004141200000 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 111004141200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185659354540800).

111004141200000 is an abundant number, since it is smaller than the sum of its proper divisors (260314567881600).

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

111004141200000 is an frugal number, since it uses more digits than its factorization.

111004141200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111004141200000 its reverse (2141400111), we get a palindrome (111006282600111).

The spelling of 111004141200000 in words is "one hundred eleven trillion, four billion, one hundred forty-one million, two hundred thousand".