120840830048007 has 24 divisors (see below), whose sum is σ = 185216288297040. Its totient is φ = 75657225012480.

The previous prime is 120840830047933. The next prime is 120840830048009. The reversal of 120840830048007 is 700840038048021.

120840830048007 is a `hidden beast` number, since 1 + 208 + 408 + 30 + 0 + 4 + 8 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 120840830048007 - 2¹⁰ = 120840830046983 is a prime.

It is a super-2 number, since 2×120840830048007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120840830048009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856555657 + ... + 856696722.

It is an arithmetic number, because the mean of its divisors is an integer number (7717345345710).

Almost surely, 2^{120840830048007} is an apocalyptic number.

120840830048007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120840830048007 is a deficient number, since it is larger than the sum of its proper divisors (64375458249033).

120840830048007 is a wasteful number, since it uses less digits than its factorization.

120840830048007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713252863 (or 1713252860 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 120840830048007 in words is "one hundred twenty trillion, eight hundred forty billion, eight hundred thirty million, forty-eight thousand, seven".