123121200 has 240 divisors, whose sum is σ = 420687360. Its totient is φ = 30735360.

The previous prime is 123121189. The next prime is 123121217. The reversal of 123121200 is 2121321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086771 + ... + 2086829.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^123121200 is an apocalyptic number.

123121200 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 123121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

123121200 is an abundant number, since it is smaller than the sum of its proper divisors (297566160).

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

123121200 is a wasteful number, since it uses less digits than its factorization.

123121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 123121200 is about 11095.9992790194. Note that the first 3 decimals coincide. The cubic root of 123121200 is about 497.4822767522.

Adding to 123121200 its reverse (2121321), we get a palindrome (125242521).

It can be divided in two parts, 123121 and 200, that added together give a palindrome (123321).

The spelling of 123121200 in words is "one hundred twenty-three million, one hundred twenty-one thousand, two hundred".