120535773016446 has 192 divisors, whose sum is σ = 280427193446400. Its totient is φ = 38763395769600.

The previous prime is 120535773016363. The next prime is 120535773016453. The reversal of 120535773016446 is 644610377535021.

120535773016446 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 577 + 3 + 0 + 1 + 64 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 120535773016392 and 120535773016401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16357137450 + ... + 16357144818.

It is an arithmetic number, because the mean of its divisors is an integer number (1460558299200).

Almost surely, 2^{120535773016446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120535773016446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140213596723200).

120535773016446 is an abundant number, since it is smaller than the sum of its proper divisors (159891420429954).

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

120535773016446 is a wasteful number, since it uses less digits than its factorization.

120535773016446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 120535773016446 in words is "one hundred twenty trillion, five hundred thirty-five billion, seven hundred seventy-three million, sixteen thousand, four hundred forty-six".