123323101200 has 180 divisors, whose sum is σ = 460886009220. Its totient is φ = 30356444160.

The previous prime is 123323101183. The next prime is 123323101273. The reversal of 123323101200 is 2101323321.

123323101200 is a `hidden beast` number, since 1 + 2 + 332 + 310 + 1 + 20 + 0 = 666.

123323101200 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 29419776 + 123293681424 = 5424^2 + 351132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1270755 + ... + 1364354.

It is an arithmetic number, because the mean of its divisors is an integer number (2560477829).

Almost surely, 2^123323101200 is an apocalyptic number.

123323101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123323101200 is an abundant number, since it is smaller than the sum of its proper divisors (337562908020).

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

123323101200 is a wasteful number, since it uses less digits than its factorization.

123323101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635146 (or 2635132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123323101200 its reverse (2101323321), we get a palindrome (125424424521).

It can be divided in two parts, 123 and 323101200, that added together give a palindrome (323101323).

The spelling of 123323101200 in words is "one hundred twenty-three billion, three hundred twenty-three million, one hundred one thousand, two hundred".