120201011011205 has 16 divisors (see below), whose sum is σ = 146967210589680. Its totient is φ = 94343587473408.

The previous prime is 120201011011201. The next prime is 120201011011223. The reversal of 120201011011205 is 502110110102021.

It can be written as a sum of positive squares in 8 ways, for example, as 240709946884 + 119960301064321 = 490622^2 + 10952639^2 .

It is a cyclic number.

It is not a de Polignac number, because 120201011011205 - 2² = 120201011011201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201011011201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869131 + ... + 15617159.

It is an arithmetic number, because the mean of its divisors is an integer number (9185450661855).

Almost surely, 2^{120201011011205} is an apocalyptic number.

It is an amenable number.

120201011011205 is a deficient number, since it is larger than the sum of its proper divisors (26766199578475).

120201011011205 is a wasteful number, since it uses less digits than its factorization.

120201011011205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781080.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 120201011011205 its reverse (502110110102021), we get a palindrome (622311121113226).

The spelling of 120201011011205 in words is "one hundred twenty trillion, two hundred one billion, eleven million, eleven thousand, two hundred five".