120716552309760 has 1408 divisors, whose sum is σ = 497131938708480. Its totient is φ = 27454419763200.

The previous prime is 120716552309723. The next prime is 120716552309761. The reversal of 120716552309760 is 67903255617021.

It is a happy number.

120716552309760 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 16 + 552 + 3 + 0 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 120716552309697 and 120716552309706.

It is not an unprimeable number, because it can be changed into a prime (120716552309761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8194721595 + ... + 8194736325.

Almost surely, 2^{120716552309760} is an apocalyptic number.

120716552309760 is a gapful number since it is divisible by the number (10) 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 120716552309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248565969354240).

120716552309760 is an abundant number, since it is smaller than the sum of its proper divisors (376415386398720).

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

120716552309760 is a wasteful number, since it uses less digits than its factorization.

120716552309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15110 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 120716552309760 in words is "one hundred twenty trillion, seven hundred sixteen billion, five hundred fifty-two million, three hundred nine thousand, seven hundred sixty".