123134040200 has 48 divisors (see below), whose sum is σ = 286376806500. Its totient is φ = 49238104320.

The previous prime is 123134040191. The next prime is 123134040251. The reversal of 123134040200 is 2040431321.

123134040200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69088019716 + 54046020484 = 262846^2 + 232478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550466 + ... + 741134.

Almost surely, 2^123134040200 is an apocalyptic number.

123134040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123134040200 is an abundant number, since it is smaller than the sum of its proper divisors (163242766300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123134040200 is a wasteful number, since it uses less digits than its factorization.

123134040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193914 (or 193905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123134040200 its reverse (2040431321), we get a palindrome (125174471521).

The spelling of 123134040200 in words is "one hundred twenty-three billion, one hundred thirty-four million, forty thousand, two hundred".