122123200 has 84 divisors (see below), whose sum is σ = 303369472. Its totient is φ = 48384000.

The previous prime is 122123179. The next prime is 122123207. The reversal of 122123200 is 2321221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202900 + ... + 203500.

Almost surely, 2^122123200 is an apocalyptic number.

122123200 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 122123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151684736).

122123200 is an abundant number, since it is smaller than the sum of its proper divisors (181246272).

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

122123200 is a wasteful number, since it uses less digits than its factorization.

122123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122123200 is about 11050.9366118895. The cubic root of 122123200 is about 496.1344588641.

Adding to 122123200 its reverse (2321221), we get a palindrome (124444421).

It can be divided in two parts, 12 and 2123200, that added together give a palindrome (2123212).

The spelling of 122123200 in words is "one hundred twenty-two million, one hundred twenty-three thousand, two hundred".