123200211101301 has 48 divisors (see below), whose sum is σ = 189254115301680. Its totient is φ = 77229206062080.

The previous prime is 123200211101291. The next prime is 123200211101333. The reversal of 123200211101301 is 103101112002321.

123200211101301 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 211 + 1 + 0 + 130 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12424038800625 + 110776172300676 = 3524775^2 + 10525026^2 .

It is not a de Polignac number, because 123200211101301 - 2¹³ = 123200211093109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200211121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45601201 + ... + 48227273.

It is an arithmetic number, because the mean of its divisors is an integer number (3942794068785).

Almost surely, 2^{123200211101301} is an apocalyptic number.

It is an amenable number.

123200211101301 is a deficient number, since it is larger than the sum of its proper divisors (66053904200379).

123200211101301 is a wasteful number, since it uses less digits than its factorization.

123200211101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627191 (or 2627154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123200211101301 its reverse (103101112002321), we get a palindrome (226301323103622).

The spelling of 123200211101301 in words is "one hundred twenty-three trillion, two hundred billion, two hundred eleven million, one hundred one thousand, three hundred one".