120516075416 has 64 divisors (see below), whose sum is σ = 255754920960. Its totient is φ = 52743600000.

The previous prime is 120516075401. The next prime is 120516075443. The reversal of 120516075416 is 614570615021.

It is a self number, because there is not a number n which added to its sum of digits gives 120516075416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425291 + ... + 649541.

It is an arithmetic number, because the mean of its divisors is an integer number (3996170640).

Almost surely, 2^120516075416 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 120516075416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127877460480).

120516075416 is an abundant number, since it is smaller than the sum of its proper divisors (135238845544).

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

120516075416 is a wasteful number, since it uses less digits than its factorization.

120516075416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224496 (or 224492 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 120516075416 in words is "one hundred twenty billion, five hundred sixteen million, seventy-five thousand, four hundred sixteen".