242123200 has 84 divisors (see below), whose sum is σ = 649982952. Its totient is φ = 88038400.

The previous prime is 242123173. The next prime is 242123243. The reversal of 242123200 is 2321242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10722 + ... + 24478.

Almost surely, 2^242123200 is an apocalyptic number.

242123200 is a gapful number since it is divisible by the number (20) 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 242123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324991476).

242123200 is an abundant number, since it is smaller than the sum of its proper divisors (407859752).

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

242123200 is a wasteful number, since it uses less digits than its factorization.

242123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242123200 is about 15560.3084802326. The cubic root of 242123200 is about 623.2737002125.

Adding to 242123200 its reverse (2321242), we get a palindrome (244444442).

The spelling of 242123200 in words is "two hundred forty-two million, one hundred twenty-three thousand, two hundred".