109216227120 has 1280 divisors, whose sum is σ = 486688849920. Its totient is φ = 19508428800.

The previous prime is 109216227119. The next prime is 109216227157. The reversal of 109216227120 is 21722612901.

109216227120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 324083592 + ... + 324083928.

It is an arithmetic number, because the mean of its divisors is an integer number (380225664).

Almost surely, 2^109216227120 is an apocalyptic number.

109216227120 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 109216227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243344424960).

109216227120 is an abundant number, since it is smaller than the sum of its proper divisors (377472622800).

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

109216227120 is a wasteful number, since it uses less digits than its factorization.

109216227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 109216227120 in words is "one hundred nine billion, two hundred sixteen million, two hundred twenty-seven thousand, one hundred twenty".