120501287361 has 384 divisors, whose sum is σ = 247919616000. Its totient is φ = 56363433984.

The previous prime is 120501287351. The next prime is 120501287371. The reversal of 120501287361 is 163782105021.

120501287361 is a `hidden beast` number, since 1 + 2 + 0 + 501 + 28 + 73 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (120501287351) and next prime (120501287371).

It is not a de Polignac number, because 120501287361 - 2¹⁷ = 120501156289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120501287351) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1242281265 + ... + 1242281361.

It is an arithmetic number, because the mean of its divisors is an integer number (645624000).

Almost surely, 2^120501287361 is an apocalyptic number.

It is an amenable number.

120501287361 is an abundant number, since it is smaller than the sum of its proper divisors (127418328639).

120501287361 is a wasteful number, since it uses less digits than its factorization.

120501287361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 120501287361 in words is "one hundred twenty billion, five hundred one million, two hundred eighty-seven thousand, three hundred sixty-one".