111906127872 has 594 divisors, whose sum is σ = 413361143559. Its totient is φ = 29066526720.

The previous prime is 111906127871. The next prime is 111906127951. The reversal of 111906127872 is 278721609111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

111906127872 is a `hidden beast` number, since 11 + 19 + 0 + 612 + 7 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55953063936 + 55953063936 = 236544^2 + 236544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=236544.

It is not an unprimeable number, because it can be changed into a prime (111906127871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10173284347 + ... + 10173284357.

Almost surely, 2^111906127872 is an apocalyptic number.

111906127872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

111906127872 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111906127872

111906127872 is an abundant number, since it is smaller than the sum of its proper divisors (301455015687).

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

111906127872 is an frugal number, since it uses more digits than its factorization.

111906127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

It can be divided in two parts, 111906 and 127872, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 111906127872 in words is "one hundred eleven billion, nine hundred six million, one hundred twenty-seven thousand, eight hundred seventy-two".