120746723328 has 1152 divisors, whose sum is σ = 473932892160. Its totient is φ = 29780213760.

The previous prime is 120746723297. The next prime is 120746723329. The reversal of 120746723328 is 823327647021.

120746723328 is a `hidden beast` number, since 1 + 207 + 46 + 72 + 332 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (120746723329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881362876 + ... + 881363012.

It is an arithmetic number, because the mean of its divisors is an integer number (411400080).

Almost surely, 2^120746723328 is an apocalyptic number.

120746723328 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 120746723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966446080).

120746723328 is an abundant number, since it is smaller than the sum of its proper divisors (353186168832).

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

120746723328 is a wasteful number, since it uses less digits than its factorization.

120746723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 120746723328 in words is "one hundred twenty billion, seven hundred forty-six million, seven hundred twenty-three thousand, three hundred twenty-eight".