120824210480688 has 1280 divisors, whose sum is σ = 442113622917120. Its totient is φ = 31021885440000.

The previous prime is 120824210480683. The next prime is 120824210480693. The reversal of 120824210480688 is 886084012428021.

It is a happy number.

120824210480688 is a `hidden beast` number, since 1 + 2 + 0 + 82 + 4 + 2 + 1 + 0 + 480 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (120824210480683) and next prime (120824210480693).

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

It is not an unprimeable number, because it can be changed into a prime (120824210480681) 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 255 ways as a sum of consecutive naturals, for example, 37165243063 + ... + 37165246313.

It is an arithmetic number, because the mean of its divisors is an integer number (345401267904).

Almost surely, 2^{120824210480688} is an apocalyptic number.

120824210480688 is a gapful number since it is divisible by the number (18) 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 120824210480688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221056811458560).

120824210480688 is an abundant number, since it is smaller than the sum of its proper divisors (321289412436432).

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

120824210480688 is a wasteful number, since it uses less digits than its factorization.

120824210480688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 120824210480688 in words is "one hundred twenty trillion, eight hundred twenty-four billion, two hundred ten million, four hundred eighty thousand, six hundred eighty-eight".