120361506006 has 64 divisors (see below), whose sum is σ = 284097392640. Its totient is φ = 33266695680.

The previous prime is 120361505987. The next prime is 120361506019. The reversal of 120361506006 is 600605163021.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3599010 + ... + 3632298.

It is an arithmetic number, because the mean of its divisors is an integer number (4439021760).

Almost surely, 2^120361506006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120361506006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142048696320).

120361506006 is an abundant number, since it is smaller than the sum of its proper divisors (163735886634).

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

120361506006 is a wasteful number, since it uses less digits than its factorization.

120361506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36109.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 120361506006 its reverse (600605163021), we get a palindrome (720966669027).

The spelling of 120361506006 in words is "one hundred twenty billion, three hundred sixty-one million, five hundred six thousand, six".