4130122000 has 80 divisors (see below), whose sum is σ = 10331146800. Its totient is φ = 1595059200.

The previous prime is 4130121959. The next prime is 4130122013. The reversal of 4130122000 is 2210314.

It can be written as a sum of positive squares in 8 ways, for example, as 2697348096 + 1432773904 = 51936^2 + 37852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 22396 + ... + 93604.

It is an arithmetic number, because the mean of its divisors is an integer number (129139335).

Almost surely, 2^4130122000 is an apocalyptic number.

4130122000 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 4130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165573400).

4130122000 is an abundant number, since it is smaller than the sum of its proper divisors (6201024800).

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

4130122000 is a wasteful number, since it uses less digits than its factorization.

4130122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71261 (or 71245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4130122000 is about 64266.0252388461. The cubic root of 4130122000 is about 1604.4306880518.

Adding to 4130122000 its reverse (2210314), we get a palindrome (4132332314).

The spelling of 4130122000 in words is "four billion, one hundred thirty million, one hundred twenty-two thousand".