1205001205 has 16 divisors (see below), whose sum is σ = 1466525808. Its totient is φ = 950400000.

The previous prime is 1205001179. The next prime is 1205001209. The reversal of 1205001205 is 5021005021.

It can be written as a sum of positive squares in 8 ways, for example, as 436935409 + 768065796 = 20903^2 + 27714^2 .

It is not a de Polignac number, because 1205001205 - 2²⁷ = 1070783477 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 (1205001209) 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, 116755 + ... + 126655.

It is an arithmetic number, because the mean of its divisors is an integer number (91657863).

Almost surely, 2^1205001205 is an apocalyptic number.

It is an amenable number.

1205001205 is a deficient number, since it is larger than the sum of its proper divisors (261524603).

1205001205 is a wasteful number, since it uses less digits than its factorization.

1205001205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1205001205 is about 34713.1272719702. The cubic root of 1205001205 is about 1064.1327934232.

Adding to 1205001205 its reverse (5021005021), we get a palindrome (6226006226).

It can be divided in two parts, 120500 and 1205, that multiplied together give a square (145202500 = 12050²).

The spelling of 1205001205 in words is "one billion, two hundred five million, one thousand, two hundred five".