111197742829272 has 384 divisors, whose sum is σ = 349775925408000. Its totient is φ = 31559302840320.

The previous prime is 111197742829249. The next prime is 111197742829289. The reversal of 111197742829272 is 272928247791111.

It is a happy number.

111197742829272 is a `hidden beast` number, since 1 + 1 + 1 + 19 + 7 + 74 + 282 + 9 + 272 = 666.

111197742829272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1355979423 + ... + 1356061425.

It is an arithmetic number, because the mean of its divisors is an integer number (910874805750).

Almost surely, 2^{111197742829272} is an apocalyptic number.

111197742829272 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 111197742829272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174887962704000).

111197742829272 is an abundant number, since it is smaller than the sum of its proper divisors (238578182578728).

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

111197742829272 is a wasteful number, since it uses less digits than its factorization.

111197742829272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83071 (or 83064 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 63.

The spelling of 111197742829272 in words is "one hundred eleven trillion, one hundred ninety-seven billion, seven hundred forty-two million, eight hundred twenty-nine thousand, two hundred seventy-two".