123322311200 has 216 divisors, whose sum is σ = 348892763184. Its totient is φ = 42205696000.

The previous prime is 123322311179. The next prime is 123322311227. The reversal of 123322311200 is 2113223321.

123322311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 2518955 + ... + 2567445.

It is an arithmetic number, because the mean of its divisors is an integer number (1615244274).

Almost surely, 2^123322311200 is an apocalyptic number.

123322311200 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 123322311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174446381592).

123322311200 is an abundant number, since it is smaller than the sum of its proper divisors (225570451984).

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

123322311200 is a wasteful number, since it uses less digits than its factorization.

123322311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48556 (or 48526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123322311200 its reverse (2113223321), we get a palindrome (125435534521).

The spelling of 123322311200 in words is "one hundred twenty-three billion, three hundred twenty-two million, three hundred eleven thousand, two hundred".