4222100120 has 128 divisors (see below), whose sum is σ = 10994780160. Its totient is φ = 1429332480.

The previous prime is 4222100117. The next prime is 4222100123. The reversal of 4222100120 is 210012224.

It is an interprime number because it is at equal distance from previous prime (4222100117) and next prime (4222100123).

It is a super-2 number, since 2×4222100120² = 35652258846608028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4222100095 and 4222100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11504177 + ... + 11504543.

It is an arithmetic number, because the mean of its divisors is an integer number (85896720).

Almost surely, 2^4222100120 is an apocalyptic number.

4222100120 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 4222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497390080).

4222100120 is an abundant number, since it is smaller than the sum of its proper divisors (6772680040).

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

4222100120 is a wasteful number, since it uses less digits than its factorization.

4222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4222100120 is about 64977.6894018247. The cubic root of 4222100120 is about 1616.2536148618.

Adding to 4222100120 its reverse (210012224), we get a palindrome (4432112344).

The spelling of 4222100120 in words is "four billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".