4121920 has 56 divisors (see below), whose sum is σ = 10716768. Its totient is φ = 1497600.

The previous prime is 4121903. The next prime is 4121927. The reversal of 4121920 is 291214.

4121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2935 + ... + 4105.

Almost surely, 2^4121920 is an apocalyptic number.

4121920 is a gapful number since it is divisible by the number (40) 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 4121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358384).

4121920 is an abundant number, since it is smaller than the sum of its proper divisors (6594848).

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

4121920 is a wasteful number, since it uses less digits than its factorization.

4121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4121920 is about 2030.2512159829. The cubic root of 4121920 is about 160.3367905783.

It can be divided in two parts, 4121 and 920, that added together give a square (5041 = 71²).

The spelling of 4121920 in words is "four million, one hundred twenty-one thousand, nine hundred twenty".