120113007 has 32 divisors (see below), whose sum is σ = 195121152. Its totient is φ = 64157184.

The previous prime is 120112991. The next prime is 120113027. The reversal of 120113007 is 700311021.

It is not a de Polignac number, because 120113007 - 2⁴ = 120112991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120113027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54978 + ... + 57120.

It is an arithmetic number, because the mean of its divisors is an integer number (6097536).

Almost surely, 2^120113007 is an apocalyptic number.

120113007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120113007 is a deficient number, since it is larger than the sum of its proper divisors (75008145).

120113007 is a wasteful number, since it uses less digits than its factorization.

120113007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 120113007 is about 10959.6079765656. The cubic root of 120113007 is about 493.3971991925.

Adding to 120113007 its reverse (700311021), we get a palindrome (820424028).

The spelling of 120113007 in words is "one hundred twenty million, one hundred thirteen thousand, seven".