109219968000 has 2112 divisors, whose sum is σ = 504902211840. Its totient is φ = 23003136000.

The previous prime is 109219967993. The next prime is 109219968031. The reversal of 109219968000 is 869912901.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6424703992 + ... + 6424704008.

Almost surely, 2^109219968000 is an apocalyptic number.

109219968000 is a gapful number since it is divisible by the number (10) 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 109219968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252451105920).

109219968000 is an abundant number, since it is smaller than the sum of its proper divisors (395682243840).

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

109219968000 is a wasteful number, since it uses less digits than its factorization.

109219968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 109219968000 in words is "one hundred nine billion, two hundred nineteen million, nine hundred sixty-eight thousand".