120356566000000 has 1792 divisors, whose sum is σ = 364349536266240. Its totient is φ = 39096320000000.

The previous prime is 120356565999947. The next prime is 120356566000003. The reversal of 120356566000000 is 665653021.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 120356566000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120356566000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 720697999917 + ... + 720698000083.

It is an arithmetic number, because the mean of its divisors is an integer number (203320053720).

Almost surely, 2^{120356566000000} is an apocalyptic number.

120356566000000 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 120356566000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182174768133120).

120356566000000 is an abundant number, since it is smaller than the sum of its proper divisors (243992970266240).

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

120356566000000 is an equidigital number, since it uses as much as digits as its factorization.

120356566000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 120356566000000 in words is "one hundred twenty trillion, three hundred fifty-six billion, five hundred sixty-six million", and thus it is an aban number.