109117619712 has 240 divisors, whose sum is σ = 319952236032. Its totient is φ = 35796418560.

The previous prime is 109117619671. The next prime is 109117619717. The reversal of 109117619712 is 217916711901.

109117619712 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 17 + 619 + 7 + 12 = 666.

It is a super-2 number, since 2×109117619712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109117619717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80173912 + ... + 80175272.

Almost surely, 2^109117619712 is an apocalyptic number.

109117619712 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 109117619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159976118016).

109117619712 is an abundant number, since it is smaller than the sum of its proper divisors (210834616320).

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

109117619712 is a wasteful number, since it uses less digits than its factorization.

109117619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 45.

The spelling of 109117619712 in words is "one hundred nine billion, one hundred seventeen million, six hundred nineteen thousand, seven hundred twelve".