120000130001205 has 64 divisors (see below), whose sum is σ = 195530604272640. Its totient is φ = 62826397337600.

The previous prime is 120000130001159. The next prime is 120000130001233. The reversal of 120000130001205 is 502100031000021.

It is not a de Polignac number, because 120000130001205 - 2¹⁷ = 120000129870133 is a prime.

It is a super-2 number, since 2×120000130001205² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009248474 + ... + 2009308196.

It is an arithmetic number, because the mean of its divisors is an integer number (3055165691760).

Almost surely, 2^{120000130001205} is an apocalyptic number.

120000130001205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120000130001205 is a deficient number, since it is larger than the sum of its proper divisors (75530474271435).

120000130001205 is a wasteful number, since it uses less digits than its factorization.

120000130001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62962.

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 120000130001205 its reverse (502100031000021), we get a palindrome (622100161001226).

The spelling of 120000130001205 in words is "one hundred twenty trillion, one hundred thirty million, one thousand, two hundred five".