120253404433311 has 24 divisors (see below), whose sum is σ = 174582016294400. Its totient is φ = 79761602566800.

The previous prime is 120253404433301. The next prime is 120253404433313. The reversal of 120253404433311 is 113334404352021.

120253404433311 is a `hidden beast` number, since 1 + 20 + 2 + 534 + 0 + 44 + 33 + 31 + 1 = 666.

It is not a de Polignac number, because 120253404433311 - 2⁶ = 120253404433247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120253404433313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30204246 + ... + 33952956.

Almost surely, 2^{120253404433311} is an apocalyptic number.

120253404433311 is a deficient number, since it is larger than the sum of its proper divisors (54328611861089).

120253404433311 is a wasteful number, since it uses less digits than its factorization.

120253404433311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766827 (or 3766824 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 120253404433311 its reverse (113334404352021), we get a palindrome (233587808785332).

The spelling of 120253404433311 in words is "one hundred twenty trillion, two hundred fifty-three billion, four hundred four million, four hundred thirty-three thousand, three hundred eleven".