4212142120 has 64 divisors (see below), whose sum is σ = 9824976000. Its totient is φ = 1623299328.

The previous prime is 4212142117. The next prime is 4212142127. The reversal of 4212142120 is 212412124.

It is not an unprimeable number, because it can be changed into a prime (4212142127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579871 + ... + 587089.

It is an arithmetic number, because the mean of its divisors is an integer number (153515250).

Almost surely, 2^4212142120 is an apocalyptic number.

4212142120 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 4212142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488000).

4212142120 is an abundant number, since it is smaller than the sum of its proper divisors (5612833880).

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

4212142120 is a wasteful number, since it uses less digits than its factorization.

4212142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4212142120 is about 64901.0178656699. The cubic root of 4212142120 is about 1614.9819472912.

Adding to 4212142120 its reverse (212412124), we get a palindrome (4424554244).

The spelling of 4212142120 in words is "four billion, two hundred twelve million, one hundred forty-two thousand, one hundred twenty".