4242121200 has 240 divisors, whose sum is σ = 15252223200. Its totient is φ = 1119744000.

The previous prime is 4242121199. The next prime is 4242121201. The reversal of 4242121200 is 21212424.

4242121200 is a `hidden beast` number, since 42 + 421 + 2 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4242121199) and next prime (4242121201).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242121201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088856 + ... + 1092744.

It is an arithmetic number, because the mean of its divisors is an integer number (63550930).

Almost surely, 2^4242121200 is an apocalyptic number.

4242121200 is a gapful number since it is divisible by the number (40) 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 4242121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626111600).

4242121200 is an abundant number, since it is smaller than the sum of its proper divisors (11010102000).

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

4242121200 is a wasteful number, since it uses less digits than its factorization.

4242121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4242121200 is about 65131.5683827743. The cubic root of 4242121200 is about 1618.8043303520.

Adding to 4242121200 its reverse (21212424), we get a palindrome (4263333624).

The spelling of 4242121200 in words is "four billion, two hundred forty-two million, one hundred twenty-one thousand, two hundred".