4200010122 has 128 divisors (see below), whose sum is σ = 10921236480. Its totient is φ = 1045175040.

The previous prime is 4200010109. The next prime is 4200010163. The reversal of 4200010122 is 2210100024.

4200010122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4200010098 and 4200010107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050904 + ... + 1054892.

It is an arithmetic number, because the mean of its divisors is an integer number (85322160).

Almost surely, 2^4200010122 is an apocalyptic number.

4200010122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460618240).

4200010122 is an abundant number, since it is smaller than the sum of its proper divisors (6721226358).

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

4200010122 is a wasteful number, since it uses less digits than its factorization.

4200010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4200010122 is about 64807.4850769570. The cubic root of 4200010122 is about 1613.4299421445.

Adding to 4200010122 its reverse (2210100024), we get a palindrome (6410110146).

The spelling of 4200010122 in words is "four billion, two hundred million, ten thousand, one hundred twenty-two".