4122105504 has 96 divisors (see below), whose sum is σ = 11970685440. Its totient is φ = 1231507200.

The previous prime is 4122105469. The next prime is 4122105523. The reversal of 4122105504 is 4055012214.

4122105504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4122105504² = 33983507572214188032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47487 + ... + 102465.

It is an arithmetic number, because the mean of its divisors is an integer number (124694640).

Almost surely, 2^4122105504 is an apocalyptic number.

4122105504 is a gapful number since it is divisible by the number (44) 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 4122105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985342720).

4122105504 is an abundant number, since it is smaller than the sum of its proper divisors (7848579936).

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

4122105504 is a wasteful number, since it uses less digits than its factorization.

4122105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55074 (or 55066 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4122105504 is about 64203.6253182015. The cubic root of 4122105504 is about 1603.3919582223.

Adding to 4122105504 its reverse (4055012214), we get a palindrome (8177117718).

It can be divided in two parts, 412210 and 5504, that added together give a palindrome (417714).

The spelling of 4122105504 in words is "four billion, one hundred twenty-two million, one hundred five thousand, five hundred four".