111312005204000 has 384 divisors, whose sum is σ = 298885704848640. Its totient is φ = 40580474880000.

The previous prime is 111312005203951. The next prime is 111312005204009. The reversal of 111312005204000 is 402500213111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111312005204009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 268596950 + ... + 269011050.

It is an arithmetic number, because the mean of its divisors is an integer number (778348189710).

Almost surely, 2^{111312005204000} is an apocalyptic number.

111312005204000 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 111312005204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149442852424320).

111312005204000 is an abundant number, since it is smaller than the sum of its proper divisors (187573699644640).

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

111312005204000 is a wasteful number, since it uses less digits than its factorization.

111312005204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414269 (or 414251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 111312005204000 its reverse (402500213111), we get a palindrome (111714505417111).

The spelling of 111312005204000 in words is "one hundred eleven trillion, three hundred twelve billion, five million, two hundred four thousand".