109611216000 has 768 divisors, whose sum is σ = 462546564480. Its totient is φ = 24523776000.

The previous prime is 109611215999. The next prime is 109611216037. The reversal of 109611216000 is 612116901.

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, 20589339 + ... + 20594661.

Almost surely, 2^109611216000 is an apocalyptic number.

109611216000 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 109611216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231273282240).

109611216000 is an abundant number, since it is smaller than the sum of its proper divisors (352935348480).

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

109611216000 is a wasteful number, since it uses less digits than its factorization.

109611216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

It can be divided in two parts, 10961 and 1216000, that added together give a triangular number (1226961 = T₁₅₆₆).

The spelling of 109611216000 in words is "one hundred nine billion, six hundred eleven million, two hundred sixteen thousand".