123201031200 has 1152 divisors, whose sum is σ = 481761665280. Its totient is φ = 27072921600.

The previous prime is 123201031193. The next prime is 123201031201. The reversal of 123201031200 is 2130102321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123201031200.

It is not an unprimeable number, because it can be changed into a prime (123201031201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 899277532 + ... + 899277668.

It is an arithmetic number, because the mean of its divisors is an integer number (418195890).

Almost surely, 2^123201031200 is an apocalyptic number.

123201031200 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 123201031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240880832640).

123201031200 is an abundant number, since it is smaller than the sum of its proper divisors (358560634080).

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

123201031200 is a wasteful number, since it uses less digits than its factorization.

123201031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123201031200 its reverse (2130102321), we get a palindrome (125331133521).

The spelling of 123201031200 in words is "one hundred twenty-three billion, two hundred one million, thirty-one thousand, two hundred".