111108926200272 has 1440 divisors, whose sum is σ = 411906223814400. Its totient is φ = 25529777602560.

The previous prime is 111108926200271. The next prime is 111108926200291. The reversal of 111108926200272 is 272002629801111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111108926200271) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14698888429 + ... + 14698895987.

It is an arithmetic number, because the mean of its divisors is an integer number (286045988760).

Almost surely, 2^{111108926200272} is an apocalyptic number.

111108926200272 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 111108926200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205953111907200).

111108926200272 is an abundant number, since it is smaller than the sum of its proper divisors (300797297614128).

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

111108926200272 is a wasteful number, since it uses less digits than its factorization.

111108926200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 111108926200272 in words is "one hundred eleven trillion, one hundred eight billion, nine hundred twenty-six million, two hundred thousand, two hundred seventy-two".