1200210002105 has 32 divisors (see below), whose sum is σ = 1504286793888. Its totient is φ = 918376704000.

The previous prime is 1200210002083. The next prime is 1200210002119. The reversal of 1200210002105 is 5012000120021.

It can be written as a sum of positive squares in 16 ways, for example, as 150562624576 + 1049647377529 = 388024^2 + 1024523^2 .

It is not a de Polignac number, because 1200210002105 - 2²⁶ = 1200142893241 is a prime.

It is a super-3 number, since 3×1200210002105³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1200210002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20294759 + ... + 20353811.

It is an arithmetic number, because the mean of its divisors is an integer number (47008962309).

Almost surely, 2^{1200210002105} is an apocalyptic number.

It is an amenable number.

1200210002105 is a deficient number, since it is larger than the sum of its proper divisors (304076791783).

1200210002105 is a wasteful number, since it uses less digits than its factorization.

1200210002105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60957.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 1200210002105 its reverse (5012000120021), we get a palindrome (6212210122126).

The spelling of 1200210002105 in words is "one trillion, two hundred billion, two hundred ten million, two thousand, one hundred five".