4123121540 has 24 divisors (see below), whose sum is σ = 8869741272. Its totient is φ = 1609022720.

The previous prime is 4123121531. The next prime is 4123121549. The reversal of 4123121540 is 451213214.

It is an interprime number because it is at equal distance from previous prime (4123121531) and next prime (4123121549).

It can be written as a sum of positive squares in 4 ways, for example, as 454276 + 4122667264 = 674^2 + 64208^2 .

It is a super-4 number, since 4×4123121540⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4123121549) 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 7 ways as a sum of consecutive naturals, for example, 2513279 + ... + 2514918.

It is an arithmetic number, because the mean of its divisors is an integer number (369572553).

Almost surely, 2^4123121540 is an apocalyptic number.

It is an amenable number.

4123121540 is an abundant number, since it is smaller than the sum of its proper divisors (4746619732).

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

4123121540 is a wasteful number, since it uses less digits than its factorization.

4123121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028247 (or 5028245 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4123121540 is about 64211.5374368189. The cubic root of 4123121540 is about 1603.5236846033.

Adding to 4123121540 its reverse (451213214), we get a palindrome (4574334754).

The spelling of 4123121540 in words is "four billion, one hundred twenty-three million, one hundred twenty-one thousand, five hundred forty".