850122000 has 640 divisors, whose sum is σ = 3769758720. Its totient is φ = 178329600.

The previous prime is 850121999. The next prime is 850122001. The reversal of 850122000 is 221058.

It is an interprime number because it is at equal distance from previous prime (850121999) and next prime (850122001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850122001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4913914 + ... + 4914086.

It is an arithmetic number, because the mean of its divisors is an integer number (5890248).

Almost surely, 2^850122000 is an apocalyptic number.

850122000 is a gapful number since it is divisible by the number (80) 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 850122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884879360).

850122000 is an abundant number, since it is smaller than the sum of its proper divisors (2919636720).

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

850122000 is a wasteful number, since it uses less digits than its factorization.

850122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 850122000 is about 29156.8516818946. The cubic root of 850122000 is about 947.3135553021.

Adding to 850122000 its reverse (221058), we get a palindrome (850343058).

The spelling of 850122000 in words is "eight hundred fifty million, one hundred twenty-two thousand".