109122240476160 has 704 divisors, whose sum is σ = 389671387372800. Its totient is φ = 28959178752000.

The previous prime is 109122240476147. The next prime is 109122240476257. The reversal of 109122240476160 is 61674042221901.

109122240476160 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 2 + 24 + 0 + 4 + 7 + 616 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46653372271 + ... + 46653374609.

Almost surely, 2^{109122240476160} is an apocalyptic number.

109122240476160 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 109122240476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194835693686400).

109122240476160 is an abundant number, since it is smaller than the sum of its proper divisors (280549146896640).

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

109122240476160 is a wasteful number, since it uses less digits than its factorization.

109122240476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109122240476160 in words is "one hundred nine trillion, one hundred twenty-two billion, two hundred forty million, four hundred seventy-six thousand, one hundred sixty".