123214533200 has 120 divisors (see below), whose sum is σ = 323328680640. Its totient is φ = 44750540800.

The previous prime is 123214533097. The next prime is 123214533209. The reversal of 123214533200 is 2335412321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123214533200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123214533209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3674912 + ... + 3708288.

It is an arithmetic number, because the mean of its divisors is an integer number (2694405672).

Almost surely, 2^123214533200 is an apocalyptic number.

123214533200 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 123214533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161664340320).

123214533200 is an abundant number, since it is smaller than the sum of its proper divisors (200114147440).

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

123214533200 is a wasteful number, since it uses less digits than its factorization.

123214533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34245 (or 34234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 123214533200 its reverse (2335412321), we get a palindrome (125549945521).

The spelling of 123214533200 in words is "one hundred twenty-three billion, two hundred fourteen million, five hundred thirty-three thousand, two hundred".