109225315567200 has 432 divisors, whose sum is σ = 415348954871760. Its totient is φ = 24858630881280.

The previous prime is 109225315567187. The next prime is 109225315567211. The reversal of 109225315567200 is 2765513522901.

109225315567200 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109225315567200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25407696 + ... + 29393904.

It is an arithmetic number, because the mean of its divisors is an integer number (961455914055).

Almost surely, 2^{109225315567200} is an apocalyptic number.

109225315567200 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 109225315567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207674477435880).

109225315567200 is an abundant number, since it is smaller than the sum of its proper divisors (306123639304560).

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

109225315567200 is a wasteful number, since it uses less digits than its factorization.

109225315567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986479 (or 3986459 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 109225315567200 in words is "one hundred nine trillion, two hundred twenty-five billion, three hundred fifteen million, five hundred sixty-seven thousand, two hundred".