4124113020 has 144 divisors (see below), whose sum is σ = 13208832000. Its totient is φ = 1038669696.

The previous prime is 4124112917. The next prime is 4124113069. The reversal of 4124113020 is 203114214.

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

It is a junction number, because it is equal to n+sod(n) for n = 4124112984 and 4124113002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226101 + ... + 1229459.

It is an arithmetic number, because the mean of its divisors is an integer number (91728000).

Almost surely, 2^4124113020 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 4124113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

4124113020 is an abundant number, since it is smaller than the sum of its proper divisors (9084718980).

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

4124113020 is a wasteful number, since it uses less digits than its factorization.

4124113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4124113020 is about 64219.2573921561. The cubic root of 4124113020 is about 1603.6522065033.

Adding to 4124113020 its reverse (203114214), we get a palindrome (4327227234).

The spelling of 4124113020 in words is "four billion, one hundred twenty-four million, one hundred thirteen thousand, twenty".