111781129420800 has 3264 divisors, whose sum is σ = 491484792960000. Its totient is φ = 24887552901120.

The previous prime is 111781129420799. The next prime is 111781129420801. The reversal of 111781129420800 is 8024921187111.

111781129420800 is a `hidden beast` number, since 1 + 117 + 8 + 11 + 29 + 420 + 80 + 0 = 666.

111781129420800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111781129420799) and next prime (111781129420801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (111781129420801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804180787131 + ... + 804180787269.

Almost surely, 2^{111781129420800} is an apocalyptic number.

111781129420800 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 111781129420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245742396480000).

111781129420800 is an abundant number, since it is smaller than the sum of its proper divisors (379703663539200).

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

111781129420800 is an frugal number, since it uses more digits than its factorization.

111781129420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 111781129420800 in words is "one hundred eleven trillion, seven hundred eighty-one billion, one hundred twenty-nine million, four hundred twenty thousand, eight hundred".