2027122000 has 160 divisors (see below), whose sum is σ = 5118422400. Its totient is φ = 775808000.

The previous prime is 2027121991. The next prime is 2027122001. The reversal of 2027122000 is 2217202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4837791 + ... + 4838209.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^2027122000 is an apocalyptic number.

2027122000 is a gapful number since it is divisible by the number (20) 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 2027122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559211200).

2027122000 is an abundant number, since it is smaller than the sum of its proper divisors (3091300400).

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

2027122000 is a wasteful number, since it uses less digits than its factorization.

2027122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2027122000 is about 45023.5716042164. The cubic root of 2027122000 is about 1265.5907607462.

Adding to 2027122000 its reverse (2217202), we get a palindrome (2029339202).

The spelling of 2027122000 in words is "two billion, twenty-seven million, one hundred twenty-two thousand".