120632598687744 has 2080 divisors, whose sum is σ = 448369101734400. Its totient is φ = 31806542315520.

The previous prime is 120632598687743. The next prime is 120632598687779. The reversal of 120632598687744 is 447786895236021.

120632598687744 is a `hidden beast` number, since 1 + 20 + 6 + 3 + 2 + 598 + 6 + 8 + 7 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120632598687743) 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 159 ways as a sum of consecutive naturals, for example, 59162627077 + ... + 59162629115.

It is a 1-persistent number, because it is pandigital, but 2⋅120632598687744 = 241265197375488 is not.

Almost surely, 2^{120632598687744} 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 120632598687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224184550867200).

120632598687744 is an abundant number, since it is smaller than the sum of its proper divisors (327736503046656).

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

120632598687744 is a wasteful number, since it uses less digits than its factorization.

120632598687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 120632598687744 in words is "one hundred twenty trillion, six hundred thirty-two billion, five hundred ninety-eight million, six hundred eighty-seven thousand, seven hundred forty-four".