120312712960 has 432 divisors, whose sum is σ = 340591638240. Its totient is φ = 40332328960.

The previous prime is 120312712951. The next prime is 120312712973. The reversal of 120312712960 is 69217213021.

It is a happy number.

It is a super-3 number, since 3×120312712960³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216001002 + ... + 216001558.

It is an arithmetic number, because the mean of its divisors is an integer number (788406570).

Almost surely, 2^120312712960 is an apocalyptic number.

120312712960 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 120312712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170295819120).

120312712960 is an abundant number, since it is smaller than the sum of its proper divisors (220278925280).

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

120312712960 is a wasteful number, since it uses less digits than its factorization.

120312712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

Adding to 120312712960 its reverse (69217213021), we get a palindrome (189529925981).

The spelling of 120312712960 in words is "one hundred twenty billion, three hundred twelve million, seven hundred twelve thousand, nine hundred sixty".