109446804012000 has 768 divisors, whose sum is σ = 441412853446656. Its totient is φ = 23085619200000.

The previous prime is 109446804011971. The next prime is 109446804012019. The reversal of 109446804012000 is 210408644901.

It is a super-2 number, since 2×109446804012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 109446804012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4598400100 + ... + 4598423900.

It is an arithmetic number, because the mean of its divisors is an integer number (574756319592).

Almost surely, 2^{109446804012000} is an apocalyptic number.

109446804012000 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 109446804012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220706426723328).

109446804012000 is an abundant number, since it is smaller than the sum of its proper divisors (331966049434656).

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

109446804012000 is a wasteful number, since it uses less digits than its factorization.

109446804012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28060 (or 28042 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 109446804012000 in words is "one hundred nine trillion, four hundred forty-six billion, eight hundred four million, twelve thousand".