4220212000 has 96 divisors (see below), whose sum is σ = 10622377584. Its totient is φ = 1646848000.

The previous prime is 4220211991. The next prime is 4220212019. The reversal of 4220212000 is 2120224.

4220212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 542517264 + 3677694736 = 23292^2 + 60644^2 .

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, 151134 + ... + 176866.

Almost surely, 2^4220212000 is an apocalyptic number.

4220212000 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 4220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311188792).

4220212000 is an abundant number, since it is smaller than the sum of its proper divisors (6402165584).

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

4220212000 is a wasteful number, since it uses less digits than its factorization.

4220212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25799 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4220212000 is about 64963.1587901943. The cubic root of 4220212000 is about 1616.0126498046.

Adding to 4220212000 its reverse (2120224), we get a palindrome (4222332224).

The spelling of 4220212000 in words is "four billion, two hundred twenty million, two hundred twelve thousand".