123533534205 has 48 divisors (see below), whose sum is σ = 217768465200. Its totient is φ = 64764748800.

The previous prime is 123533534191. The next prime is 123533534219. The reversal of 123533534205 is 502435335321.

It is an interprime number because it is at equal distance from previous prime (123533534191) and next prime (123533534219).

It can be written as a sum of positive squares in 8 ways, for example, as 96523926489 + 27009607716 = 310683^2 + 164346^2 .

It is not a de Polignac number, because 123533534205 - 2⁷ = 123533534077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123533534205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4766121 + ... + 4791969.

It is an arithmetic number, because the mean of its divisors is an integer number (4536843025).

Almost surely, 2^123533534205 is an apocalyptic number.

123533534205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123533534205 is a deficient number, since it is larger than the sum of its proper divisors (94234930995).

123533534205 is a wasteful number, since it uses less digits than its factorization.

123533534205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27662 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 123533534205 its reverse (502435335321), we get a palindrome (625968869526).

The spelling of 123533534205 in words is "one hundred twenty-three billion, five hundred thirty-three million, five hundred thirty-four thousand, two hundred five".