111221686380672 has 384 divisors, whose sum is σ = 367517371253760. Its totient is φ = 31626219626496.

The previous prime is 111221686380643. The next prime is 111221686380683. The reversal of 111221686380672 is 276083686122111.

It is a happy number.

111221686380672 is a `hidden beast` number, since 1 + 1 + 122 + 1 + 6 + 86 + 380 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8942800438 + ... + 8942812874.

It is an arithmetic number, because the mean of its divisors is an integer number (957076487640).

Almost surely, 2^{111221686380672} is an apocalyptic number.

111221686380672 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 111221686380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183758685626880).

111221686380672 is an abundant number, since it is smaller than the sum of its proper divisors (256295684873088).

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

111221686380672 is a wasteful number, since it uses less digits than its factorization.

111221686380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 111221686380672 in words is "one hundred eleven trillion, two hundred twenty-one billion, six hundred eighty-six million, three hundred eighty thousand, six hundred seventy-two".