123020321200 has 360 divisors, whose sum is σ = 351405410400. Its totient is φ = 41258004480.

The previous prime is 123020321161. The next prime is 123020321201. The reversal of 123020321200 is 2123020321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (123020321201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190139277 + ... + 190139923.

It is an arithmetic number, because the mean of its divisors is an integer number (976126140).

Almost surely, 2^123020321200 is an apocalyptic number.

123020321200 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 123020321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175702705200).

123020321200 is an abundant number, since it is smaller than the sum of its proper divisors (228385089200).

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

123020321200 is a wasteful number, since it uses less digits than its factorization.

123020321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123020321200 its reverse (2123020321), we get a palindrome (125143341521).

The spelling of 123020321200 in words is "one hundred twenty-three billion, twenty million, three hundred twenty-one thousand, two hundred".