120205542242205 has 24 divisors (see below), whose sum is σ = 238121455108992. Its totient is φ = 54951105024864.

The previous prime is 120205542242141. The next prime is 120205542242213. The reversal of 120205542242205 is 502242245502021.

120205542242205 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 5 + 5 + 422 + 4 + 220 + 5 = 666.

It is not a de Polignac number, because 120205542242205 - 2⁶ = 120205542242141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120205542242205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190802447689 + ... + 190802448318.

It is an arithmetic number, because the mean of its divisors is an integer number (9921727296208).

Almost surely, 2^{120205542242205} is an apocalyptic number.

120205542242205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120205542242205 is a deficient number, since it is larger than the sum of its proper divisors (117915912866787).

120205542242205 is a wasteful number, since it uses less digits than its factorization.

120205542242205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381604896025 (or 381604896022 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 120205542242205 its reverse (502242245502021), we get a palindrome (622447787744226).

The spelling of 120205542242205 in words is "one hundred twenty trillion, two hundred five billion, five hundred forty-two million, two hundred forty-two thousand, two hundred five".