109224221600 has 144 divisors (see below), whose sum is σ = 299640321792. Its totient is φ = 38575426560.

The previous prime is 109224221569. The next prime is 109224221627. The reversal of 109224221600 is 6122422901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10889 + ... + 467511.

It is an arithmetic number, because the mean of its divisors is an integer number (2080835568).

Almost surely, 2^109224221600 is an apocalyptic number.

109224221600 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 109224221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149820160896).

109224221600 is an abundant number, since it is smaller than the sum of its proper divisors (190416100192).

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

109224221600 is a wasteful number, since it uses less digits than its factorization.

109224221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456679 (or 456666 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 109224221600 in words is "one hundred nine billion, two hundred twenty-four million, two hundred twenty-one thousand, six hundred".