1205701440201 has 24 divisors (see below), whose sum is σ = 1753425535680. Its totient is φ = 798336445536.

The previous prime is 1205701440191. The next prime is 1205701440217. The reversal of 1205701440201 is 1020441075021.

1205701440201 is a `hidden beast` number, since 1 + 20 + 570 + 14 + 40 + 20 + 1 = 666.

It is not a de Polignac number, because 1205701440201 - 2¹³ = 1205701432009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1205701440101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520826 + ... + 2173548.

It is an arithmetic number, because the mean of its divisors is an integer number (73059397320).

Almost surely, 2^{1205701440201} is an apocalyptic number.

It is an amenable number.

1205701440201 is a deficient number, since it is larger than the sum of its proper divisors (547724095479).

1205701440201 is a wasteful number, since it uses less digits than its factorization.

1205701440201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654125 (or 654122 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1205701440201 in words is "one trillion, two hundred five billion, seven hundred one million, four hundred forty thousand, two hundred one".