120603652416 has 336 divisors, whose sum is σ = 380364908560. Its totient is φ = 36309565440.

The previous prime is 120603652409. The next prime is 120603652417. The reversal of 120603652416 is 614256306021.

120603652416 is a `hidden beast` number, since 1 + 2 + 0 + 603 + 6 + 5 + 2 + 41 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 815673600 + 119787978816 = 28560^2 + 346104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120603652417) by changing a digit.

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, 104599296 + ... + 104600448.

Almost surely, 2^120603652416 is an apocalyptic number.

120603652416 is a gapful number since it is divisible by the number (16) 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 120603652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190182454280).

120603652416 is an abundant number, since it is smaller than the sum of its proper divisors (259761256144).

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

120603652416 is a wasteful number, since it uses less digits than its factorization.

120603652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 120603652416 its reverse (614256306021), we get a palindrome (734859958437).

The spelling of 120603652416 in words is "one hundred twenty billion, six hundred three million, six hundred fifty-two thousand, four hundred sixteen".