120746542752 has 288 divisors, whose sum is σ = 400462574400. Its totient is φ = 35327255040.

The previous prime is 120746542661. The next prime is 120746542771. The reversal of 120746542752 is 257245647021.

120746542752 is a `hidden beast` number, since 12 + 0 + 7 + 46 + 542 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 120746542698 and 120746542707.

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, 3011863 + ... + 3051689.

It is an arithmetic number, because the mean of its divisors is an integer number (1390495050).

Almost surely, 2^120746542752 is an apocalyptic number.

120746542752 is a gapful number since it is divisible by the number (12) 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 120746542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200231287200).

120746542752 is an abundant number, since it is smaller than the sum of its proper divisors (279716031648).

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

120746542752 is a wasteful number, since it uses less digits than its factorization.

120746542752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39897 (or 39872 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 120746542752 in words is "one hundred twenty billion, seven hundred forty-six million, five hundred forty-two thousand, seven hundred fifty-two".