4242121312 has 96 divisors (see below), whose sum is σ = 10040405760. Its totient is φ = 1738437120.

The previous prime is 4242121297. The next prime is 4242121321. The reversal of 4242121312 is 2131212424.

4242121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185989 + ... + 207547.

It is an arithmetic number, because the mean of its divisors is an integer number (104587560).

Almost surely, 2^4242121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020202880).

4242121312 is an abundant number, since it is smaller than the sum of its proper divisors (5798284448).

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

4242121312 is a wasteful number, since it uses less digits than its factorization.

4242121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21636 (or 21628 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 4242121312 is about 65131.5692425724. The cubic root of 4242121312 is about 1618.8043445985.

Adding to 4242121312 its reverse (2131212424), we get a palindrome (6373333736).

It can be divided in two parts, 424212 and 1312, that added together give a palindrome (425524).

The spelling of 4242121312 in words is "four billion, two hundred forty-two million, one hundred twenty-one thousand, three hundred twelve".