111213168867072 has 288 divisors, whose sum is σ = 330414529536000. Its totient is φ = 36898136985600.

The previous prime is 111213168866993. The next prime is 111213168867077. The reversal of 111213168867072 is 270768861312111.

It is a happy number.

111213168867072 is a `hidden beast` number, since 1 + 1 + 121 + 316 + 88 + 67 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111213168867077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287876697 + ... + 1287963047.

It is an arithmetic number, because the mean of its divisors is an integer number (1147272672000).

Almost surely, 2^{111213168867072} is an apocalyptic number.

111213168867072 is a gapful number since it is divisible by the number (12) 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 111213168867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165207264768000).

111213168867072 is an abundant number, since it is smaller than the sum of its proper divisors (219201360668928).

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

111213168867072 is an equidigital number, since it uses as much as digits as its factorization.

111213168867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87244 (or 87224 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 111213168867072 in words is "one hundred eleven trillion, two hundred thirteen billion, one hundred sixty-eight million, eight hundred sixty-seven thousand, seventy-two".