120320626277376 has 1056 divisors, whose sum is σ = 408474166464000. Its totient is φ = 33407404867584.

The previous prime is 120320626277363. The next prime is 120320626277389. The reversal of 120320626277376 is 673772626023021.

120320626277376 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 0 + 6 + 2 + 627 + 7 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (120320626277363) and next prime (120320626277389).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85394340160 + ... + 85394341568.

Almost surely, 2^{120320626277376} is an apocalyptic number.

120320626277376 is a gapful number since it is divisible by the number (16) 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 120320626277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204237083232000).

120320626277376 is an abundant number, since it is smaller than the sum of its proper divisors (288153540186624).

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

120320626277376 is a wasteful number, since it uses less digits than its factorization.

120320626277376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 120320626277376 in words is "one hundred twenty trillion, three hundred twenty billion, six hundred twenty-six million, two hundred seventy-seven thousand, three hundred seventy-six".