4201121412 has 72 divisors (see below), whose sum is σ = 10700235000. Its totient is φ = 1389772800.

The previous prime is 4201121401. The next prime is 4201121417. The reversal of 4201121412 is 2141211024.

It can be written as a sum of positive squares in 4 ways, for example, as 1076758596 + 3124362816 = 32814^2 + 55896^2 .

It is a super-2 number, since 2×4201121412² = 35298842236729747488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4201121417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362964 + ... + 3364212.

It is an arithmetic number, because the mean of its divisors is an integer number (148614375).

Almost surely, 2^4201121412 is an apocalyptic number.

It is an amenable number.

4201121412 is an abundant number, since it is smaller than the sum of its proper divisors (6499113588).

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

4201121412 is a wasteful number, since it uses less digits than its factorization.

4201121412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4201121412 is about 64816.0582880508. The cubic root of 4201121412 is about 1613.5722299323.

Adding to 4201121412 its reverse (2141211024), we get a palindrome (6342332436).

The spelling of 4201121412 in words is "four billion, two hundred one million, one hundred twenty-one thousand, four hundred twelve".