123313201200 has 600 divisors, whose sum is σ = 522129597440. Its totient is φ = 27275097600.

The previous prime is 123313201199. The next prime is 123313201211. The reversal of 123313201200 is 2102313321.

123313201200 is a `hidden beast` number, since 1 + 2 + 331 + 320 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×123313201200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7022031 + ... + 7039569.

Almost surely, 2^123313201200 is an apocalyptic number.

123313201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123313201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261064798720).

123313201200 is an abundant number, since it is smaller than the sum of its proper divisors (398816396240).

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

123313201200 is a wasteful number, since it uses less digits than its factorization.

123313201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17587 counting only the distinct ones).

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

Adding to 123313201200 its reverse (2102313321), we get a palindrome (125415514521).

The spelling of 123313201200 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred one thousand, two hundred".