4204121220 has 144 divisors (see below), whose sum is σ = 13959075312. Its totient is φ = 1017861120.

The previous prime is 4204121219. The next prime is 4204121221. The reversal of 4204121220 is 221214024.

4204121220 is a `hidden beast` number, since 420 + 4 + 1 + 21 + 220 = 666.

4204121220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4204121219) and next prime (4204121221).

It can be written as a sum of positive squares in 8 ways, for example, as 1249763904 + 2954357316 = 35352^2 + 54354^2 .

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 = 4204121193 and 4204121202.

It is not an unprimeable number, because it can be changed into a prime (4204121221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128014 + ... + 157466.

It is an arithmetic number, because the mean of its divisors is an integer number (96938023).

Almost surely, 2^4204121220 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 4204121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979537656).

4204121220 is an abundant number, since it is smaller than the sum of its proper divisors (9754954092).

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

4204121220 is a wasteful number, since it uses less digits than its factorization.

4204121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29542 (or 29537 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4204121220 is about 64839.1950906240. The cubic root of 4204121220 is about 1613.9561952890.

Adding to 4204121220 its reverse (221214024), we get a palindrome (4425335244).

The spelling of 4204121220 in words is "four billion, two hundred four million, one hundred twenty-one thousand, two hundred twenty".