4214122220 has 96 divisors (see below), whose sum is σ = 11241732096. Its totient is φ = 1288684800.

The previous prime is 4214122219. The next prime is 4214122279. The reversal of 4214122220 is 222214124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4214122192 and 4214122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55805 + ... + 107435.

It is an arithmetic number, because the mean of its divisors is an integer number (117101376).

Almost surely, 2^4214122220 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 4214122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620866048).

4214122220 is an abundant number, since it is smaller than the sum of its proper divisors (7027609876).

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

4214122220 is a wasteful number, since it uses less digits than its factorization.

4214122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51711 (or 51709 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4214122220 is about 64916.2708417543. The cubic root of 4214122220 is about 1615.2349717383.

Adding to 4214122220 its reverse (222214124), we get a palindrome (4436336344).

The spelling of 4214122220 in words is "four billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred twenty".