12106444350000 has 960 divisors, whose sum is σ = 52486770631680. Its totient is φ = 2322086400000.

The previous prime is 12106444349911. The next prime is 12106444350043. The reversal of 12106444350000 is 5344460121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12106444350000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150109686 + ... + 150190314.

It is an arithmetic number, because the mean of its divisors is an integer number (54673719408).

Almost surely, 2^{12106444350000} is an apocalyptic number.

12106444350000 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 12106444350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26243385315840).

12106444350000 is an abundant number, since it is smaller than the sum of its proper divisors (40380326281680).

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

12106444350000 is a wasteful number, since it uses less digits than its factorization.

12106444350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80696 (or 80670 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12106444350000 in words is "twelve trillion, one hundred six billion, four hundred forty-four million, three hundred fifty thousand".