4142122012 has 96 divisors (see below), whose sum is σ = 8911558656. Its totient is φ = 1644364800.

The previous prime is 4142121983. The next prime is 4142122013. The reversal of 4142122012 is 2102212414.

It is a super-3 number, since 3×4142122012³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11286253 + ... + 11286619.

It is an arithmetic number, because the mean of its divisors is an integer number (92828736).

Almost surely, 2^4142122012 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 4142122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455779328).

4142122012 is an abundant number, since it is smaller than the sum of its proper divisors (4769436644).

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

4142122012 is a wasteful number, since it uses less digits than its factorization.

4142122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

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

The square root of 4142122012 is about 64359.3195427049. The cubic root of 4142122012 is about 1605.9830692266.

Adding to 4142122012 its reverse (2102212414), we get a palindrome (6244334426).

The spelling of 4142122012 in words is "four billion, one hundred forty-two million, one hundred twenty-two thousand, twelve".