120536607273984 has 264 divisors, whose sum is σ = 379812236682528. Its totient is φ = 36514241003520.

The previous prime is 120536607273977. The next prime is 120536607273989. The reversal of 120536607273984 is 489372706635021.

It is a happy number.

120536607273984 is a `hidden beast` number, since 1 + 2 + 0 + 536 + 6 + 0 + 7 + 2 + 7 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120536607273989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 310726354 + ... + 311114030.

It is a 2-persistent number, because it is pandigital, and so is 2⋅120536607273984 = 241073214547968, but 3⋅120536607273984 = 361609821821952 is not.

Almost surely, 2^{120536607273984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120536607273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189906118341264).

120536607273984 is an abundant number, since it is smaller than the sum of its proper divisors (259275629408544).

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

120536607273984 is a wasteful number, since it uses less digits than its factorization.

120536607273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390781 (or 390760 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 120536607273984 in words is "one hundred twenty trillion, five hundred thirty-six billion, six hundred seven million, two hundred seventy-three thousand, nine hundred eighty-four".