120745721032704 has 624 divisors, whose sum is σ = 384147184861440. Its totient is φ = 37764814602240.

The previous prime is 120745721032631. The next prime is 120745721032771. The reversal of 120745721032704 is 407230127547021.

120745721032704 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 572 + 1 + 0 + 3 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120745721032704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600699877 + ... + 5600721435.

It is an arithmetic number, because the mean of its divisors is an integer number (615620488560).

Almost surely, 2^{120745721032704} 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 120745721032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192073592430720).

120745721032704 is an abundant number, since it is smaller than the sum of its proper divisors (263401463828736).

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

120745721032704 is an equidigital number, since it uses as much as digits as its factorization.

120745721032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21946 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

Adding to 120745721032704 its reverse (407230127547021), we get a palindrome (527975848579725).

The spelling of 120745721032704 in words is "one hundred twenty trillion, seven hundred forty-five billion, seven hundred twenty-one million, thirty-two thousand, seven hundred four".