120724775431536 has 80 divisors (see below), whose sum is σ = 325449957012480. Its totient is φ = 38489833831680.

The previous prime is 120724775431531. The next prime is 120724775431543. The reversal of 120724775431536 is 635134577427021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120724775431531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17064505 + ... + 23079143.

It is an arithmetic number, because the mean of its divisors is an integer number (4068124462656).

Almost surely, 2^{120724775431536} is an apocalyptic number.

120724775431536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120724775431536 is an abundant number, since it is smaller than the sum of its proper divisors (204725181580944).

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

120724775431536 is a wasteful number, since it uses less digits than its factorization.

120724775431536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032854 (or 6032848 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 120724775431536 in words is "one hundred twenty trillion, seven hundred twenty-four billion, seven hundred seventy-five million, four hundred thirty-one thousand, five hundred thirty-six".