242101200 has 120 divisors (see below), whose sum is σ = 846079776. Its totient is φ = 58688000.

The previous prime is 242101177. The next prime is 242101219. The reversal of 242101200 is 2101242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×242101200² = 117225982082880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030 + ... + 22370.

Almost surely, 2^242101200 is an apocalyptic number.

242101200 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 242101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423039888).

242101200 is an abundant number, since it is smaller than the sum of its proper divisors (603978576).

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

242101200 is a wasteful number, since it uses less digits than its factorization.

242101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 242101200 is about 15559.6015373145. The cubic root of 242101200 is about 623.2548221692.

Adding to 242101200 its reverse (2101242), we get a palindrome (244202442).

The spelling of 242101200 in words is "two hundred forty-two million, one hundred one thousand, two hundred".